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Finding the Fourth Proportional to 404.32, 557.76 and 287.68

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Solution

The fourth proportional to 404.32, 557.76 and 287.68 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.32 : 557.76 = 287.68 : x
  2. Step 2: Convert to fraction form
    404.32/557.76 = 287.68/x
  3. Step 3: Cross multiply
    404.32x = 557.76 × 287.68
  4. Step 4: Simplify right side
    404.32x = 160,456.40
  5. Step 5: Solve for x
    x = 160,456.40/404.32
  6. Step 6: Final answer
    x = 396.85

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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.