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Finding the Fourth Proportional to 404.38, 557.46 and 398.92

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Solution

The fourth proportional to 404.38, 557.46 and 398.92 is: 549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.38 : 557.46 = 398.92 : x
  2. Step 2: Convert to fraction form
    404.38/557.46 = 398.92/x
  3. Step 3: Cross multiply
    404.38x = 557.46 × 398.92
  4. Step 4: Simplify right side
    404.38x = 222,381.94
  5. Step 5: Solve for x
    x = 222,381.94/404.38
  6. Step 6: Final answer
    x = 549.93

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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.