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Finding the Fourth Proportional to 79.71, 118.81 and 77.98

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Solution

The fourth proportional to 79.71, 118.81 and 77.98 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.71 : 118.81 = 77.98 : x
  2. Step 2: Convert to fraction form
    79.71/118.81 = 77.98/x
  3. Step 3: Cross multiply
    79.71x = 118.81 × 77.98
  4. Step 4: Simplify right side
    79.71x = 9,264.31
  5. Step 5: Solve for x
    x = 9,264.31/79.71
  6. Step 6: Final answer
    x = 116.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.