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Finding the Fourth Proportional to 155.57, 215.82 and 154.22

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Solution

The fourth proportional to 155.57, 215.82 and 154.22 is: 213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.57 : 215.82 = 154.22 : x
  2. Step 2: Convert to fraction form
    155.57/215.82 = 154.22/x
  3. Step 3: Cross multiply
    155.57x = 215.82 × 154.22
  4. Step 4: Simplify right side
    155.57x = 33,282.68
  5. Step 5: Solve for x
    x = 33,282.68/155.57
  6. Step 6: Final answer
    x = 213.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.