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Finding the Fourth Proportional to 31.78, 47.44 and 29.22

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Solution

The fourth proportional to 31.78, 47.44 and 29.22 is: 43.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.78 : 47.44 = 29.22 : x
  2. Step 2: Convert to fraction form
    31.78/47.44 = 29.22/x
  3. Step 3: Cross multiply
    31.78x = 47.44 × 29.22
  4. Step 4: Simplify right side
    31.78x = 1,386.20
  5. Step 5: Solve for x
    x = 1,386.20/31.78
  6. Step 6: Final answer
    x = 43.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.