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Finding the Fourth Proportional to 51.38, 70.61 and 42.74

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Solution

The fourth proportional to 51.38, 70.61 and 42.74 is: 58.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 70.61 = 42.74 : x
  2. Step 2: Convert to fraction form
    51.38/70.61 = 42.74/x
  3. Step 3: Cross multiply
    51.38x = 70.61 × 42.74
  4. Step 4: Simplify right side
    51.38x = 3,017.66
  5. Step 5: Solve for x
    x = 3,017.66/51.38
  6. Step 6: Final answer
    x = 58.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.