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Finding the Fourth Proportional to 113.05, 155.88 and 80.31

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Solution

The fourth proportional to 113.05, 155.88 and 80.31 is: 110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.05 : 155.88 = 80.31 : x
  2. Step 2: Convert to fraction form
    113.05/155.88 = 80.31/x
  3. Step 3: Cross multiply
    113.05x = 155.88 × 80.31
  4. Step 4: Simplify right side
    113.05x = 12,518.72
  5. Step 5: Solve for x
    x = 12,518.72/113.05
  6. Step 6: Final answer
    x = 110.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.