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Finding the Fourth Proportional to 27.32, 40.80 and 27.20

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Solution

The fourth proportional to 27.32, 40.80 and 27.20 is: 40.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.32 : 40.80 = 27.20 : x
  2. Step 2: Convert to fraction form
    27.32/40.80 = 27.20/x
  3. Step 3: Cross multiply
    27.32x = 40.80 × 27.20
  4. Step 4: Simplify right side
    27.32x = 1,109.76
  5. Step 5: Solve for x
    x = 1,109.76/27.32
  6. Step 6: Final answer
    x = 40.62

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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.