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Finding the Fourth Proportional to 478.42, 717.59 and 221.92

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Solution

The fourth proportional to 478.42, 717.59 and 221.92 is: 332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 717.59 = 221.92 : x
  2. Step 2: Convert to fraction form
    478.42/717.59 = 221.92/x
  3. Step 3: Cross multiply
    478.42x = 717.59 × 221.92
  4. Step 4: Simplify right side
    478.42x = 159,247.57
  5. Step 5: Solve for x
    x = 159,247.57/478.42
  6. Step 6: Final answer
    x = 332.86

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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.