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Finding the Fourth Proportional to 22.53, 31.14 and 21.27

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Solution

The fourth proportional to 22.53, 31.14 and 21.27 is: 29.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.53 : 31.14 = 21.27 : x
  2. Step 2: Convert to fraction form
    22.53/31.14 = 21.27/x
  3. Step 3: Cross multiply
    22.53x = 31.14 × 21.27
  4. Step 4: Simplify right side
    22.53x = 662.35
  5. Step 5: Solve for x
    x = 662.35/22.53
  6. Step 6: Final answer
    x = 29.40

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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.