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Finding the Fourth Proportional to 101, 151.20 and 82.78

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Solution

The fourth proportional to 101, 151.20 and 82.78 is: 123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101 : 151.20 = 82.78 : x
  2. Step 2: Convert to fraction form
    101/151.20 = 82.78/x
  3. Step 3: Cross multiply
    101x = 151.20 × 82.78
  4. Step 4: Simplify right side
    101x = 12,516.34
  5. Step 5: Solve for x
    x = 12,516.34/101
  6. Step 6: Final answer
    x = 123.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.