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Finding the Fourth Proportional to 113.84, 170.16 and 79.48

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Solution

The fourth proportional to 113.84, 170.16 and 79.48 is: 118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 170.16 = 79.48 : x
  2. Step 2: Convert to fraction form
    113.84/170.16 = 79.48/x
  3. Step 3: Cross multiply
    113.84x = 170.16 × 79.48
  4. Step 4: Simplify right side
    113.84x = 13,524.32
  5. Step 5: Solve for x
    x = 13,524.32/113.84
  6. Step 6: Final answer
    x = 118.80

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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.