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Finding the Fourth Proportional to 80.07, 118.47 and 79.83

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Solution

The fourth proportional to 80.07, 118.47 and 79.83 is: 118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.07 : 118.47 = 79.83 : x
  2. Step 2: Convert to fraction form
    80.07/118.47 = 79.83/x
  3. Step 3: Cross multiply
    80.07x = 118.47 × 79.83
  4. Step 4: Simplify right side
    80.07x = 9,457.46
  5. Step 5: Solve for x
    x = 9,457.46/80.07
  6. Step 6: Final answer
    x = 118.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.