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Finding the Fourth Proportional to 510.86, 766.28 and 164.22

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Solution

The fourth proportional to 510.86, 766.28 and 164.22 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 766.28 = 164.22 : x
  2. Step 2: Convert to fraction form
    510.86/766.28 = 164.22/x
  3. Step 3: Cross multiply
    510.86x = 766.28 × 164.22
  4. Step 4: Simplify right side
    510.86x = 125,835.76
  5. Step 5: Solve for x
    x = 125,835.76/510.86
  6. Step 6: Final answer
    x = 246.32

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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.