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Finding the Fourth Proportional to 39.41, 58.65 and 37.97

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Solution

The fourth proportional to 39.41, 58.65 and 37.97 is: 56.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.41 : 58.65 = 37.97 : x
  2. Step 2: Convert to fraction form
    39.41/58.65 = 37.97/x
  3. Step 3: Cross multiply
    39.41x = 58.65 × 37.97
  4. Step 4: Simplify right side
    39.41x = 2,226.94
  5. Step 5: Solve for x
    x = 2,226.94/39.41
  6. Step 6: Final answer
    x = 56.51

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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.