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Finding the Fourth Proportional to 51.33, 71.25 and 49.86

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Solution

The fourth proportional to 51.33, 71.25 and 49.86 is: 69.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.33 : 71.25 = 49.86 : x
  2. Step 2: Convert to fraction form
    51.33/71.25 = 49.86/x
  3. Step 3: Cross multiply
    51.33x = 71.25 × 49.86
  4. Step 4: Simplify right side
    51.33x = 3,552.53
  5. Step 5: Solve for x
    x = 3,552.53/51.33
  6. Step 6: Final answer
    x = 69.21

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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.