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Finding the Fourth Proportional to 29.61, 44.64 and 27.95

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Solution

The fourth proportional to 29.61, 44.64 and 27.95 is: 42.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.61 : 44.64 = 27.95 : x
  2. Step 2: Convert to fraction form
    29.61/44.64 = 27.95/x
  3. Step 3: Cross multiply
    29.61x = 44.64 × 27.95
  4. Step 4: Simplify right side
    29.61x = 1,247.46
  5. Step 5: Solve for x
    x = 1,247.46/29.61
  6. Step 6: Final answer
    x = 42.13

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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.