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Finding the Fourth Proportional to 510.90, 766.17 and 181.75

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Solution

The fourth proportional to 510.90, 766.17 and 181.75 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 766.17 = 181.75 : x
  2. Step 2: Convert to fraction form
    510.90/766.17 = 181.75/x
  3. Step 3: Cross multiply
    510.90x = 766.17 × 181.75
  4. Step 4: Simplify right side
    510.90x = 139,251.40
  5. Step 5: Solve for x
    x = 139,251.40/510.90
  6. Step 6: Final answer
    x = 272.56

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Double scale
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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.