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Finding the Fourth Proportional to 332.50, 458.98 and 221.94

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Solution

The fourth proportional to 332.50, 458.98 and 221.94 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.50 : 458.98 = 221.94 : x
  2. Step 2: Convert to fraction form
    332.50/458.98 = 221.94/x
  3. Step 3: Cross multiply
    332.50x = 458.98 × 221.94
  4. Step 4: Simplify right side
    332.50x = 101,862.62
  5. Step 5: Solve for x
    x = 101,862.62/332.50
  6. Step 6: Final answer
    x = 306.35

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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.