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Finding the Fourth Proportional to 51.44, 70.92 and 37.66

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Solution

The fourth proportional to 51.44, 70.92 and 37.66 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 70.92 = 37.66 : x
  2. Step 2: Convert to fraction form
    51.44/70.92 = 37.66/x
  3. Step 3: Cross multiply
    51.44x = 70.92 × 37.66
  4. Step 4: Simplify right side
    51.44x = 2,670.85
  5. Step 5: Solve for x
    x = 2,670.85/51.44
  6. Step 6: Final answer
    x = 51.92

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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.