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Finding the Fourth Proportional to 511.09, 766.75 and 202.96

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Solution

The fourth proportional to 511.09, 766.75 and 202.96 is: 304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.09 : 766.75 = 202.96 : x
  2. Step 2: Convert to fraction form
    511.09/766.75 = 202.96/x
  3. Step 3: Cross multiply
    511.09x = 766.75 × 202.96
  4. Step 4: Simplify right side
    511.09x = 155,617.92
  5. Step 5: Solve for x
    x = 155,617.92/511.09
  6. Step 6: Final answer
    x = 304.48

Related Problems

Find fourth proportional to 255.55, 383.38 and 101.48
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.