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Finding the Fourth Proportional to 114.16, 158.47 and 106.96

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Solution

The fourth proportional to 114.16, 158.47 and 106.96 is: 148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.16 : 158.47 = 106.96 : x
  2. Step 2: Convert to fraction form
    114.16/158.47 = 106.96/x
  3. Step 3: Cross multiply
    114.16x = 158.47 × 106.96
  4. Step 4: Simplify right side
    114.16x = 16,949.95
  5. Step 5: Solve for x
    x = 16,949.95/114.16
  6. Step 6: Final answer
    x = 148.48

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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.