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Finding the Fourth Proportional to 372.05, 557.93 and 140.82

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Solution

The fourth proportional to 372.05, 557.93 and 140.82 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.05 : 557.93 = 140.82 : x
  2. Step 2: Convert to fraction form
    372.05/557.93 = 140.82/x
  3. Step 3: Cross multiply
    372.05x = 557.93 × 140.82
  4. Step 4: Simplify right side
    372.05x = 78,565.44
  5. Step 5: Solve for x
    x = 78,565.44/372.05
  6. Step 6: Final answer
    x = 211.17

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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.