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Finding the Fourth Proportional to 225.54, 311.49 and 155.70

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Solution

The fourth proportional to 225.54, 311.49 and 155.70 is: 215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.54 : 311.49 = 155.70 : x
  2. Step 2: Convert to fraction form
    225.54/311.49 = 155.70/x
  3. Step 3: Cross multiply
    225.54x = 311.49 × 155.70
  4. Step 4: Simplify right side
    225.54x = 48,498.99
  5. Step 5: Solve for x
    x = 48,498.99/225.54
  6. Step 6: Final answer
    x = 215.03

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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.