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Finding the Fourth Proportional to 114.15, 170.91 and 77.52

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Solution

The fourth proportional to 114.15, 170.91 and 77.52 is: 116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.15 : 170.91 = 77.52 : x
  2. Step 2: Convert to fraction form
    114.15/170.91 = 77.52/x
  3. Step 3: Cross multiply
    114.15x = 170.91 × 77.52
  4. Step 4: Simplify right side
    114.15x = 13,248.94
  5. Step 5: Solve for x
    x = 13,248.94/114.15
  6. Step 6: Final answer
    x = 116.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.