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Finding the Fourth Proportional to 114.24, 158.30 and 112.49

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Solution

The fourth proportional to 114.24, 158.30 and 112.49 is: 155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.24 : 158.30 = 112.49 : x
  2. Step 2: Convert to fraction form
    114.24/158.30 = 112.49/x
  3. Step 3: Cross multiply
    114.24x = 158.30 × 112.49
  4. Step 4: Simplify right side
    114.24x = 17,805.81
  5. Step 5: Solve for x
    x = 17,805.81/114.24
  6. Step 6: Final answer
    x = 155.86

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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.