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Finding the Fourth Proportional to 363.24, 501.66 and 354.87

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Solution

The fourth proportional to 363.24, 501.66 and 354.87 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 501.66 = 354.87 : x
  2. Step 2: Convert to fraction form
    363.24/501.66 = 354.87/x
  3. Step 3: Cross multiply
    363.24x = 501.66 × 354.87
  4. Step 4: Simplify right side
    363.24x = 178,024.08
  5. Step 5: Solve for x
    x = 178,024.08/363.24
  6. Step 6: Final answer
    x = 490.10

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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.