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Finding the Fourth Proportional to 31.34, 43.16 and 29.82

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Solution

The fourth proportional to 31.34, 43.16 and 29.82 is: 41.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.34 : 43.16 = 29.82 : x
  2. Step 2: Convert to fraction form
    31.34/43.16 = 29.82/x
  3. Step 3: Cross multiply
    31.34x = 43.16 × 29.82
  4. Step 4: Simplify right side
    31.34x = 1,287.03
  5. Step 5: Solve for x
    x = 1,287.03/31.34
  6. Step 6: Final answer
    x = 41.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.