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Finding the Fourth Proportional to 114.01, 157.28 and 81.29

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Solution

The fourth proportional to 114.01, 157.28 and 81.29 is: 112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.01 : 157.28 = 81.29 : x
  2. Step 2: Convert to fraction form
    114.01/157.28 = 81.29/x
  3. Step 3: Cross multiply
    114.01x = 157.28 × 81.29
  4. Step 4: Simplify right side
    114.01x = 12,785.28
  5. Step 5: Solve for x
    x = 12,785.28/114.01
  6. Step 6: Final answer
    x = 112.14

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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.