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Finding the Fourth Proportional to 114.52, 170.78 and 100.14

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Solution

The fourth proportional to 114.52, 170.78 and 100.14 is: 149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.52 : 170.78 = 100.14 : x
  2. Step 2: Convert to fraction form
    114.52/170.78 = 100.14/x
  3. Step 3: Cross multiply
    114.52x = 170.78 × 100.14
  4. Step 4: Simplify right side
    114.52x = 17,101.91
  5. Step 5: Solve for x
    x = 17,101.91/114.52
  6. Step 6: Final answer
    x = 149.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.