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Finding the Fourth Proportional to 31.27, 47.12 and 29.05

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Solution

The fourth proportional to 31.27, 47.12 and 29.05 is: 43.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.27 : 47.12 = 29.05 : x
  2. Step 2: Convert to fraction form
    31.27/47.12 = 29.05/x
  3. Step 3: Cross multiply
    31.27x = 47.12 × 29.05
  4. Step 4: Simplify right side
    31.27x = 1,368.84
  5. Step 5: Solve for x
    x = 1,368.84/31.27
  6. Step 6: Final answer
    x = 43.77

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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.