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Finding the Fourth Proportional to 56.27, 77.66 and 31.71

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Solution

The fourth proportional to 56.27, 77.66 and 31.71 is: 43.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.27 : 77.66 = 31.71 : x
  2. Step 2: Convert to fraction form
    56.27/77.66 = 31.71/x
  3. Step 3: Cross multiply
    56.27x = 77.66 × 31.71
  4. Step 4: Simplify right side
    56.27x = 2,462.60
  5. Step 5: Solve for x
    x = 2,462.60/56.27
  6. Step 6: Final answer
    x = 43.76

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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.