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Finding the Fourth Proportional to 29.14, 40.18 and 18.21

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Solution

The fourth proportional to 29.14, 40.18 and 18.21 is: 25.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.14 : 40.18 = 18.21 : x
  2. Step 2: Convert to fraction form
    29.14/40.18 = 18.21/x
  3. Step 3: Cross multiply
    29.14x = 40.18 × 18.21
  4. Step 4: Simplify right side
    29.14x = 731.59
  5. Step 5: Solve for x
    x = 731.59/29.14
  6. Step 6: Final answer
    x = 25.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.