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Finding the Fourth Proportional to 114.35, 170.87 and 101.52

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Solution

The fourth proportional to 114.35, 170.87 and 101.52 is: 151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.35 : 170.87 = 101.52 : x
  2. Step 2: Convert to fraction form
    114.35/170.87 = 101.52/x
  3. Step 3: Cross multiply
    114.35x = 170.87 × 101.52
  4. Step 4: Simplify right side
    114.35x = 17,346.21
  5. Step 5: Solve for x
    x = 17,346.21/114.35
  6. Step 6: Final answer
    x = 151.70

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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.