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Finding the Fourth Proportional to 225.61, 311.19 and 160.00

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Solution

The fourth proportional to 225.61, 311.19 and 160.00 is: 220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.61 : 311.19 = 160.00 : x
  2. Step 2: Convert to fraction form
    225.61/311.19 = 160.00/x
  3. Step 3: Cross multiply
    225.61x = 311.19 × 160.00
  4. Step 4: Simplify right side
    225.61x = 49,790.80
  5. Step 5: Solve for x
    x = 49,790.80/225.61
  6. Step 6: Final answer
    x = 220.69

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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.