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Finding the Fourth Proportional to 404.02, 557.01 and 287.38

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Solution

The fourth proportional to 404.02, 557.01 and 287.38 is: 396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.02 : 557.01 = 287.38 : x
  2. Step 2: Convert to fraction form
    404.02/557.01 = 287.38/x
  3. Step 3: Cross multiply
    404.02x = 557.01 × 287.38
  4. Step 4: Simplify right side
    404.02x = 160,073.53
  5. Step 5: Solve for x
    x = 160,073.53/404.02
  6. Step 6: Final answer
    x = 396.20

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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.