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Finding the Fourth Proportional to 437.72, 604.11 and 363.91

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Solution

The fourth proportional to 437.72, 604.11 and 363.91 is: 502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.72 : 604.11 = 363.91 : x
  2. Step 2: Convert to fraction form
    437.72/604.11 = 363.91/x
  3. Step 3: Cross multiply
    437.72x = 604.11 × 363.91
  4. Step 4: Simplify right side
    437.72x = 219,841.67
  5. Step 5: Solve for x
    x = 219,841.67/437.72
  6. Step 6: Final answer
    x = 502.24

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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.