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Finding the Fourth Proportional to 32.97, 49.68 and 27.09

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Solution

The fourth proportional to 32.97, 49.68 and 27.09 is: 40.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.97 : 49.68 = 27.09 : x
  2. Step 2: Convert to fraction form
    32.97/49.68 = 27.09/x
  3. Step 3: Cross multiply
    32.97x = 49.68 × 27.09
  4. Step 4: Simplify right side
    32.97x = 1,345.83
  5. Step 5: Solve for x
    x = 1,345.83/32.97
  6. Step 6: Final answer
    x = 40.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.