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Finding the Fourth Proportional to 115.11, 157.88 and 106.61

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Solution

The fourth proportional to 115.11, 157.88 and 106.61 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.11 : 157.88 = 106.61 : x
  2. Step 2: Convert to fraction form
    115.11/157.88 = 106.61/x
  3. Step 3: Cross multiply
    115.11x = 157.88 × 106.61
  4. Step 4: Simplify right side
    115.11x = 16,831.06
  5. Step 5: Solve for x
    x = 16,831.06/115.11
  6. Step 6: Final answer
    x = 146.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.