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Finding the Fourth Proportional to 79.10, 118.70 and 31.01

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Solution

The fourth proportional to 79.10, 118.70 and 31.01 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.10 : 118.70 = 31.01 : x
  2. Step 2: Convert to fraction form
    79.10/118.70 = 31.01/x
  3. Step 3: Cross multiply
    79.10x = 118.70 × 31.01
  4. Step 4: Simplify right side
    79.10x = 3,680.72
  5. Step 5: Solve for x
    x = 3,680.72/79.10
  6. Step 6: Final answer
    x = 46.53

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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.