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Finding the Fourth Proportional to 510.17, 764.57 and 185.22

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Solution

The fourth proportional to 510.17, 764.57 and 185.22 is: 277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.17 : 764.57 = 185.22 : x
  2. Step 2: Convert to fraction form
    510.17/764.57 = 185.22/x
  3. Step 3: Cross multiply
    510.17x = 764.57 × 185.22
  4. Step 4: Simplify right side
    510.17x = 141,612.73
  5. Step 5: Solve for x
    x = 141,612.73/510.17
  6. Step 6: Final answer
    x = 277.58

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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.