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Finding the Fourth Proportional to 113.98, 170.56 and 75.40

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Solution

The fourth proportional to 113.98, 170.56 and 75.40 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.98 : 170.56 = 75.40 : x
  2. Step 2: Convert to fraction form
    113.98/170.56 = 75.40/x
  3. Step 3: Cross multiply
    113.98x = 170.56 × 75.40
  4. Step 4: Simplify right side
    113.98x = 12,860.22
  5. Step 5: Solve for x
    x = 12,860.22/113.98
  6. Step 6: Final answer
    x = 112.83

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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.