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Finding the Fourth Proportional to 363.17, 499.97 and 315.90

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Solution

The fourth proportional to 363.17, 499.97 and 315.90 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.17 : 499.97 = 315.90 : x
  2. Step 2: Convert to fraction form
    363.17/499.97 = 315.90/x
  3. Step 3: Cross multiply
    363.17x = 499.97 × 315.90
  4. Step 4: Simplify right side
    363.17x = 157,941.31
  5. Step 5: Solve for x
    x = 157,941.31/363.17
  6. Step 6: Final answer
    x = 434.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.