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Finding the Fourth Proportional to 140.74, 211.10 and 38.02

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Solution

The fourth proportional to 140.74, 211.10 and 38.02 is: 57.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.74 : 211.10 = 38.02 : x
  2. Step 2: Convert to fraction form
    140.74/211.10 = 38.02/x
  3. Step 3: Cross multiply
    140.74x = 211.10 × 38.02
  4. Step 4: Simplify right side
    140.74x = 8,026.02
  5. Step 5: Solve for x
    x = 8,026.02/140.74
  6. Step 6: Final answer
    x = 57.03

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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.