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Finding the Fourth Proportional to 372.03, 557.64 and 140.78

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Solution

The fourth proportional to 372.03, 557.64 and 140.78 is: 211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.03 : 557.64 = 140.78 : x
  2. Step 2: Convert to fraction form
    372.03/557.64 = 140.78/x
  3. Step 3: Cross multiply
    372.03x = 557.64 × 140.78
  4. Step 4: Simplify right side
    372.03x = 78,501.77
  5. Step 5: Solve for x
    x = 78,501.77/372.03
  6. Step 6: Final answer
    x = 211.01

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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.