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Finding the Fourth Proportional to 225.52, 311.86 and 215.86

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Solution

The fourth proportional to 225.52, 311.86 and 215.86 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.52 : 311.86 = 215.86 : x
  2. Step 2: Convert to fraction form
    225.52/311.86 = 215.86/x
  3. Step 3: Cross multiply
    225.52x = 311.86 × 215.86
  4. Step 4: Simplify right side
    225.52x = 67,318.10
  5. Step 5: Solve for x
    x = 67,318.10/225.52
  6. Step 6: Final answer
    x = 298.50

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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.