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Finding the Fourth Proportional to 46.15, 69.25 and 31.71

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Solution

The fourth proportional to 46.15, 69.25 and 31.71 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.15 : 69.25 = 31.71 : x
  2. Step 2: Convert to fraction form
    46.15/69.25 = 31.71/x
  3. Step 3: Cross multiply
    46.15x = 69.25 × 31.71
  4. Step 4: Simplify right side
    46.15x = 2,195.76
  5. Step 5: Solve for x
    x = 2,195.76/46.15
  6. Step 6: Final answer
    x = 47.58

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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.