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Finding the Fourth Proportional to 51.30, 71.27 and 49.77

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Solution

The fourth proportional to 51.30, 71.27 and 49.77 is: 69.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.30 : 71.27 = 49.77 : x
  2. Step 2: Convert to fraction form
    51.30/71.27 = 49.77/x
  3. Step 3: Cross multiply
    51.30x = 71.27 × 49.77
  4. Step 4: Simplify right side
    51.30x = 3,546.86
  5. Step 5: Solve for x
    x = 3,546.86/51.30
  6. Step 6: Final answer
    x = 69.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.