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Finding the Fourth Proportional to 51.49, 77.13 and 25.81

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Solution

The fourth proportional to 51.49, 77.13 and 25.81 is: 38.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.49 : 77.13 = 25.81 : x
  2. Step 2: Convert to fraction form
    51.49/77.13 = 25.81/x
  3. Step 3: Cross multiply
    51.49x = 77.13 × 25.81
  4. Step 4: Simplify right side
    51.49x = 1,990.34
  5. Step 5: Solve for x
    x = 1,990.34/51.49
  6. Step 6: Final answer
    x = 38.66

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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.