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Finding the Fourth Proportional to 39.53, 58.98 and 32.78

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Solution

The fourth proportional to 39.53, 58.98 and 32.78 is: 48.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.53 : 58.98 = 32.78 : x
  2. Step 2: Convert to fraction form
    39.53/58.98 = 32.78/x
  3. Step 3: Cross multiply
    39.53x = 58.98 × 32.78
  4. Step 4: Simplify right side
    39.53x = 1,933.07
  5. Step 5: Solve for x
    x = 1,933.07/39.53
  6. Step 6: Final answer
    x = 48.91

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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.