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Finding the Fourth Proportional to 371.61, 557.42 and 285.21

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Solution

The fourth proportional to 371.61, 557.42 and 285.21 is: 427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.61 : 557.42 = 285.21 : x
  2. Step 2: Convert to fraction form
    371.61/557.42 = 285.21/x
  3. Step 3: Cross multiply
    371.61x = 557.42 × 285.21
  4. Step 4: Simplify right side
    371.61x = 158,980.33
  5. Step 5: Solve for x
    x = 158,980.33/371.61
  6. Step 6: Final answer
    x = 427.82

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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.