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Finding the Fourth Proportional to 225.42, 337.86 and 122.70

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Solution

The fourth proportional to 225.42, 337.86 and 122.70 is: 183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 337.86 = 122.70 : x
  2. Step 2: Convert to fraction form
    225.42/337.86 = 122.70/x
  3. Step 3: Cross multiply
    225.42x = 337.86 × 122.70
  4. Step 4: Simplify right side
    225.42x = 41,455.42
  5. Step 5: Solve for x
    x = 41,455.42/225.42
  6. Step 6: Final answer
    x = 183.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.