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Finding the Fourth Proportional to 25.14, 37.88 and 22.14

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Solution

The fourth proportional to 25.14, 37.88 and 22.14 is: 33.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.14 : 37.88 = 22.14 : x
  2. Step 2: Convert to fraction form
    25.14/37.88 = 22.14/x
  3. Step 3: Cross multiply
    25.14x = 37.88 × 22.14
  4. Step 4: Simplify right side
    25.14x = 838.66
  5. Step 5: Solve for x
    x = 838.66/25.14
  6. Step 6: Final answer
    x = 33.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.