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Finding the Fourth Proportional to 371.32, 557.17 and 285.21

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Solution

The fourth proportional to 371.32, 557.17 and 285.21 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.32 : 557.17 = 285.21 : x
  2. Step 2: Convert to fraction form
    371.32/557.17 = 285.21/x
  3. Step 3: Cross multiply
    371.32x = 557.17 × 285.21
  4. Step 4: Simplify right side
    371.32x = 158,910.46
  5. Step 5: Solve for x
    x = 158,910.46/371.32
  6. Step 6: Final answer
    x = 427.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.