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Finding the Fourth Proportional to 114.68, 158.14 and 101.57

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Solution

The fourth proportional to 114.68, 158.14 and 101.57 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.68 : 158.14 = 101.57 : x
  2. Step 2: Convert to fraction form
    114.68/158.14 = 101.57/x
  3. Step 3: Cross multiply
    114.68x = 158.14 × 101.57
  4. Step 4: Simplify right side
    114.68x = 16,061.24
  5. Step 5: Solve for x
    x = 16,061.24/114.68
  6. Step 6: Final answer
    x = 140.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.