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Finding the Fourth Proportional to 106.23, 158.66 and 79.23

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Solution

The fourth proportional to 106.23, 158.66 and 79.23 is: 118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.23 : 158.66 = 79.23 : x
  2. Step 2: Convert to fraction form
    106.23/158.66 = 79.23/x
  3. Step 3: Cross multiply
    106.23x = 158.66 × 79.23
  4. Step 4: Simplify right side
    106.23x = 12,570.63
  5. Step 5: Solve for x
    x = 12,570.63/106.23
  6. Step 6: Final answer
    x = 118.33

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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.