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Finding the Fourth Proportional to 27.13, 40.71 and 12.88

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Solution

The fourth proportional to 27.13, 40.71 and 12.88 is: 19.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.13 : 40.71 = 12.88 : x
  2. Step 2: Convert to fraction form
    27.13/40.71 = 12.88/x
  3. Step 3: Cross multiply
    27.13x = 40.71 × 12.88
  4. Step 4: Simplify right side
    27.13x = 524.14
  5. Step 5: Solve for x
    x = 524.14/27.13
  6. Step 6: Final answer
    x = 19.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.