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Finding the Fourth Proportional to 15.34, 22.82 and 14.38

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Solution

The fourth proportional to 15.34, 22.82 and 14.38 is: 21.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.34 : 22.82 = 14.38 : x
  2. Step 2: Convert to fraction form
    15.34/22.82 = 14.38/x
  3. Step 3: Cross multiply
    15.34x = 22.82 × 14.38
  4. Step 4: Simplify right side
    15.34x = 328.15
  5. Step 5: Solve for x
    x = 328.15/15.34
  6. Step 6: Final answer
    x = 21.39

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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.