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Finding the Fourth Proportional to 113.65, 155.78 and 109.55

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Solution

The fourth proportional to 113.65, 155.78 and 109.55 is: 150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.65 : 155.78 = 109.55 : x
  2. Step 2: Convert to fraction form
    113.65/155.78 = 109.55/x
  3. Step 3: Cross multiply
    113.65x = 155.78 × 109.55
  4. Step 4: Simplify right side
    113.65x = 17,064.37
  5. Step 5: Solve for x
    x = 17,064.37/113.65
  6. Step 6: Final answer
    x = 150.15

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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.