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Finding the Fourth Proportional to 39.66, 58.98 and 38.76

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Solution

The fourth proportional to 39.66, 58.98 and 38.76 is: 57.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.66 : 58.98 = 38.76 : x
  2. Step 2: Convert to fraction form
    39.66/58.98 = 38.76/x
  3. Step 3: Cross multiply
    39.66x = 58.98 × 38.76
  4. Step 4: Simplify right side
    39.66x = 2,286.06
  5. Step 5: Solve for x
    x = 2,286.06/39.66
  6. Step 6: Final answer
    x = 57.64

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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.