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Finding the Fourth Proportional to 140.56, 191.50 and 137.59

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Solution

The fourth proportional to 140.56, 191.50 and 137.59 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 191.50 = 137.59 : x
  2. Step 2: Convert to fraction form
    140.56/191.50 = 137.59/x
  3. Step 3: Cross multiply
    140.56x = 191.50 × 137.59
  4. Step 4: Simplify right side
    140.56x = 26,348.49
  5. Step 5: Solve for x
    x = 26,348.49/140.56
  6. Step 6: Final answer
    x = 187.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.