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Finding the Fourth Proportional to 332.48, 458.78 and 221.78

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Solution

The fourth proportional to 332.48, 458.78 and 221.78 is: 306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.48 : 458.78 = 221.78 : x
  2. Step 2: Convert to fraction form
    332.48/458.78 = 221.78/x
  3. Step 3: Cross multiply
    332.48x = 458.78 × 221.78
  4. Step 4: Simplify right side
    332.48x = 101,748.27
  5. Step 5: Solve for x
    x = 101,748.27/332.48
  6. Step 6: Final answer
    x = 306.03

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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.