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Finding the Fourth Proportional to 39.76, 59.30 and 34

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Solution

The fourth proportional to 39.76, 59.30 and 34 is: 50.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.76 : 59.30 = 34 : x
  2. Step 2: Convert to fraction form
    39.76/59.30 = 34/x
  3. Step 3: Cross multiply
    39.76x = 59.30 × 34
  4. Step 4: Simplify right side
    39.76x = 2,016.20
  5. Step 5: Solve for x
    x = 2,016.20/39.76
  6. Step 6: Final answer
    x = 50.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.