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Finding the Fourth Proportional to 32.48, 48.48 and 27.88

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Solution

The fourth proportional to 32.48, 48.48 and 27.88 is: 41.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.48 : 48.48 = 27.88 : x
  2. Step 2: Convert to fraction form
    32.48/48.48 = 27.88/x
  3. Step 3: Cross multiply
    32.48x = 48.48 × 27.88
  4. Step 4: Simplify right side
    32.48x = 1,351.62
  5. Step 5: Solve for x
    x = 1,351.62/32.48
  6. Step 6: Final answer
    x = 41.61

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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.