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Finding the Fourth Proportional to 148.95, 205.57 and 86.78

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Solution

The fourth proportional to 148.95, 205.57 and 86.78 is: 119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.95 : 205.57 = 86.78 : x
  2. Step 2: Convert to fraction form
    148.95/205.57 = 86.78/x
  3. Step 3: Cross multiply
    148.95x = 205.57 × 86.78
  4. Step 4: Simplify right side
    148.95x = 17,837.90
  5. Step 5: Solve for x
    x = 17,837.90/148.95
  6. Step 6: Final answer
    x = 119.76

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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.