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Finding the Fourth Proportional to 109.93, 151.67 and 77.20

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Solution

The fourth proportional to 109.93, 151.67 and 77.20 is: 106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.93 : 151.67 = 77.20 : x
  2. Step 2: Convert to fraction form
    109.93/151.67 = 77.20/x
  3. Step 3: Cross multiply
    109.93x = 151.67 × 77.20
  4. Step 4: Simplify right side
    109.93x = 11,708.92
  5. Step 5: Solve for x
    x = 11,708.92/109.93
  6. Step 6: Final answer
    x = 106.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.