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Finding the Fourth Proportional to 41.82, 57.72 and 30.76

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Solution

The fourth proportional to 41.82, 57.72 and 30.76 is: 42.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.82 : 57.72 = 30.76 : x
  2. Step 2: Convert to fraction form
    41.82/57.72 = 30.76/x
  3. Step 3: Cross multiply
    41.82x = 57.72 × 30.76
  4. Step 4: Simplify right side
    41.82x = 1,775.47
  5. Step 5: Solve for x
    x = 1,775.47/41.82
  6. Step 6: Final answer
    x = 42.45

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Find fourth proportional to 20.91, 28.86 and 15.38
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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.