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Finding the Fourth Proportional to 372.84, 558.74 and 281.42

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Solution

The fourth proportional to 372.84, 558.74 and 281.42 is: 421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 558.74 = 281.42 : x
  2. Step 2: Convert to fraction form
    372.84/558.74 = 281.42/x
  3. Step 3: Cross multiply
    372.84x = 558.74 × 281.42
  4. Step 4: Simplify right side
    372.84x = 157,240.61
  5. Step 5: Solve for x
    x = 157,240.61/372.84
  6. Step 6: Final answer
    x = 421.74

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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.