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Finding the Fourth Proportional to 42.56, 58.78 and 31.76

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Solution

The fourth proportional to 42.56, 58.78 and 31.76 is: 43.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.56 : 58.78 = 31.76 : x
  2. Step 2: Convert to fraction form
    42.56/58.78 = 31.76/x
  3. Step 3: Cross multiply
    42.56x = 58.78 × 31.76
  4. Step 4: Simplify right side
    42.56x = 1,866.85
  5. Step 5: Solve for x
    x = 1,866.85/42.56
  6. Step 6: Final answer
    x = 43.86

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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.