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Finding the Fourth Proportional to 469.24, 703.68 and 225.88

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Solution

The fourth proportional to 469.24, 703.68 and 225.88 is: 338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.24 : 703.68 = 225.88 : x
  2. Step 2: Convert to fraction form
    469.24/703.68 = 225.88/x
  3. Step 3: Cross multiply
    469.24x = 703.68 × 225.88
  4. Step 4: Simplify right side
    469.24x = 158,947.24
  5. Step 5: Solve for x
    x = 158,947.24/469.24
  6. Step 6: Final answer
    x = 338.73

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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.