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Finding the Fourth Proportional to 29.52, 44.40 and 27.72

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Solution

The fourth proportional to 29.52, 44.40 and 27.72 is: 41.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.52 : 44.40 = 27.72 : x
  2. Step 2: Convert to fraction form
    29.52/44.40 = 27.72/x
  3. Step 3: Cross multiply
    29.52x = 44.40 × 27.72
  4. Step 4: Simplify right side
    29.52x = 1,230.77
  5. Step 5: Solve for x
    x = 1,230.77/29.52
  6. Step 6: Final answer
    x = 41.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.