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Finding the Fourth Proportional to 51.57, 76.98 and 48.15

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Solution

The fourth proportional to 51.57, 76.98 and 48.15 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.57 : 76.98 = 48.15 : x
  2. Step 2: Convert to fraction form
    51.57/76.98 = 48.15/x
  3. Step 3: Cross multiply
    51.57x = 76.98 × 48.15
  4. Step 4: Simplify right side
    51.57x = 3,706.66
  5. Step 5: Solve for x
    x = 3,706.66/51.57
  6. Step 6: Final answer
    x = 71.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.