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Finding the Fourth Proportional to 51.73, 71.38 and 43.53

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Solution

The fourth proportional to 51.73, 71.38 and 43.53 is: 60.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.73 : 71.38 = 43.53 : x
  2. Step 2: Convert to fraction form
    51.73/71.38 = 43.53/x
  3. Step 3: Cross multiply
    51.73x = 71.38 × 43.53
  4. Step 4: Simplify right side
    51.73x = 3,106.60
  5. Step 5: Solve for x
    x = 3,106.60/51.73
  6. Step 6: Final answer
    x = 60.06

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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.