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Finding the Fourth Proportional to 79.13, 118.64 and 31.02

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Solution

The fourth proportional to 79.13, 118.64 and 31.02 is: 46.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.13 : 118.64 = 31.02 : x
  2. Step 2: Convert to fraction form
    79.13/118.64 = 31.02/x
  3. Step 3: Cross multiply
    79.13x = 118.64 × 31.02
  4. Step 4: Simplify right side
    79.13x = 3,680.21
  5. Step 5: Solve for x
    x = 3,680.21/79.13
  6. Step 6: Final answer
    x = 46.51

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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.