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Finding the Fourth Proportional to 225.10, 311.61 and 205.66

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Solution

The fourth proportional to 225.10, 311.61 and 205.66 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.10 : 311.61 = 205.66 : x
  2. Step 2: Convert to fraction form
    225.10/311.61 = 205.66/x
  3. Step 3: Cross multiply
    225.10x = 311.61 × 205.66
  4. Step 4: Simplify right side
    225.10x = 64,085.71
  5. Step 5: Solve for x
    x = 64,085.71/225.10
  6. Step 6: Final answer
    x = 284.70

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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.