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Finding the Fourth Proportional to 225.62, 311.06 and 155.55

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Solution

The fourth proportional to 225.62, 311.06 and 155.55 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.62 : 311.06 = 155.55 : x
  2. Step 2: Convert to fraction form
    225.62/311.06 = 155.55/x
  3. Step 3: Cross multiply
    225.62x = 311.06 × 155.55
  4. Step 4: Simplify right side
    225.62x = 48,385.38
  5. Step 5: Solve for x
    x = 48,385.38/225.62
  6. Step 6: Final answer
    x = 214.46

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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.