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Finding the Fourth Proportional to 39.42, 58.71 and 38.22

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Solution

The fourth proportional to 39.42, 58.71 and 38.22 is: 56.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 58.71 = 38.22 : x
  2. Step 2: Convert to fraction form
    39.42/58.71 = 38.22/x
  3. Step 3: Cross multiply
    39.42x = 58.71 × 38.22
  4. Step 4: Simplify right side
    39.42x = 2,243.90
  5. Step 5: Solve for x
    x = 2,243.90/39.42
  6. Step 6: Final answer
    x = 56.92

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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.