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Finding the Fourth Proportional to 114.30, 158.82 and 112.85

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Solution

The fourth proportional to 114.30, 158.82 and 112.85 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.30 : 158.82 = 112.85 : x
  2. Step 2: Convert to fraction form
    114.30/158.82 = 112.85/x
  3. Step 3: Cross multiply
    114.30x = 158.82 × 112.85
  4. Step 4: Simplify right side
    114.30x = 17,922.64
  5. Step 5: Solve for x
    x = 17,922.64/114.30
  6. Step 6: Final answer
    x = 156.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.