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Finding the Fourth Proportional to 22.59, 31.14 and 18.45

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Solution

The fourth proportional to 22.59, 31.14 and 18.45 is: 25.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 31.14 = 18.45 : x
  2. Step 2: Convert to fraction form
    22.59/31.14 = 18.45/x
  3. Step 3: Cross multiply
    22.59x = 31.14 × 18.45
  4. Step 4: Simplify right side
    22.59x = 574.53
  5. Step 5: Solve for x
    x = 574.53/22.59
  6. Step 6: Final answer
    x = 25.43

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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.