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Finding the Fourth Proportional to 113.64, 155.98 and 101.08

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Solution

The fourth proportional to 113.64, 155.98 and 101.08 is: 138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.64 : 155.98 = 101.08 : x
  2. Step 2: Convert to fraction form
    113.64/155.98 = 101.08/x
  3. Step 3: Cross multiply
    113.64x = 155.98 × 101.08
  4. Step 4: Simplify right side
    113.64x = 15,766.46
  5. Step 5: Solve for x
    x = 15,766.46/113.64
  6. Step 6: Final answer
    x = 138.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.