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Finding the Fourth Proportional to 31.24, 47.08 and 29.77

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Solution

The fourth proportional to 31.24, 47.08 and 29.77 is: 44.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.24 : 47.08 = 29.77 : x
  2. Step 2: Convert to fraction form
    31.24/47.08 = 29.77/x
  3. Step 3: Cross multiply
    31.24x = 47.08 × 29.77
  4. Step 4: Simplify right side
    31.24x = 1,401.57
  5. Step 5: Solve for x
    x = 1,401.57/31.24
  6. Step 6: Final answer
    x = 44.86

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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.