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Finding the Fourth Proportional to 511.08, 766.23 and 164.21

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Solution

The fourth proportional to 511.08, 766.23 and 164.21 is: 246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.08 : 766.23 = 164.21 : x
  2. Step 2: Convert to fraction form
    511.08/766.23 = 164.21/x
  3. Step 3: Cross multiply
    511.08x = 766.23 × 164.21
  4. Step 4: Simplify right side
    511.08x = 125,822.63
  5. Step 5: Solve for x
    x = 125,822.63/511.08
  6. Step 6: Final answer
    x = 246.19

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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.