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Finding the Fourth Proportional to 29.95, 41.34 and 27.21

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Solution

The fourth proportional to 29.95, 41.34 and 27.21 is: 37.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.95 : 41.34 = 27.21 : x
  2. Step 2: Convert to fraction form
    29.95/41.34 = 27.21/x
  3. Step 3: Cross multiply
    29.95x = 41.34 × 27.21
  4. Step 4: Simplify right side
    29.95x = 1,124.86
  5. Step 5: Solve for x
    x = 1,124.86/29.95
  6. Step 6: Final answer
    x = 37.56

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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.