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Finding the Fourth Proportional to 31.66, 47.56 and 18.16

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Solution

The fourth proportional to 31.66, 47.56 and 18.16 is: 27.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.66 : 47.56 = 18.16 : x
  2. Step 2: Convert to fraction form
    31.66/47.56 = 18.16/x
  3. Step 3: Cross multiply
    31.66x = 47.56 × 18.16
  4. Step 4: Simplify right side
    31.66x = 863.69
  5. Step 5: Solve for x
    x = 863.69/31.66
  6. Step 6: Final answer
    x = 27.28

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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.