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Finding the Fourth Proportional to 404.53, 558.32 and 238.88

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Solution

The fourth proportional to 404.53, 558.32 and 238.88 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.53 : 558.32 = 238.88 : x
  2. Step 2: Convert to fraction form
    404.53/558.32 = 238.88/x
  3. Step 3: Cross multiply
    404.53x = 558.32 × 238.88
  4. Step 4: Simplify right side
    404.53x = 133,371.68
  5. Step 5: Solve for x
    x = 133,371.68/404.53
  6. Step 6: Final answer
    x = 329.70

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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.