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Finding the Fourth Proportional to 404.28, 557.90 and 238.47

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Solution

The fourth proportional to 404.28, 557.90 and 238.47 is: 329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.28 : 557.90 = 238.47 : x
  2. Step 2: Convert to fraction form
    404.28/557.90 = 238.47/x
  3. Step 3: Cross multiply
    404.28x = 557.90 × 238.47
  4. Step 4: Simplify right side
    404.28x = 133,042.41
  5. Step 5: Solve for x
    x = 133,042.41/404.28
  6. Step 6: Final answer
    x = 329.08

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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.