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Finding the Fourth Proportional to 31.61, 43.64 and 28.53

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Solution

The fourth proportional to 31.61, 43.64 and 28.53 is: 39.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.61 : 43.64 = 28.53 : x
  2. Step 2: Convert to fraction form
    31.61/43.64 = 28.53/x
  3. Step 3: Cross multiply
    31.61x = 43.64 × 28.53
  4. Step 4: Simplify right side
    31.61x = 1,244.91
  5. Step 5: Solve for x
    x = 1,244.91/31.61
  6. Step 6: Final answer
    x = 39.39

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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.