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Finding the Fourth Proportional to 157.41, 237.03 and 140.43

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Solution

The fourth proportional to 157.41, 237.03 and 140.43 is: 211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.41 : 237.03 = 140.43 : x
  2. Step 2: Convert to fraction form
    157.41/237.03 = 140.43/x
  3. Step 3: Cross multiply
    157.41x = 237.03 × 140.43
  4. Step 4: Simplify right side
    157.41x = 33,286.12
  5. Step 5: Solve for x
    x = 33,286.12/157.41
  6. Step 6: Final answer
    x = 211.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.