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Finding the Fourth Proportional to 332.56, 458.69 and 221.98

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Solution

The fourth proportional to 332.56, 458.69 and 221.98 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.56 : 458.69 = 221.98 : x
  2. Step 2: Convert to fraction form
    332.56/458.69 = 221.98/x
  3. Step 3: Cross multiply
    332.56x = 458.69 × 221.98
  4. Step 4: Simplify right side
    332.56x = 101,820.01
  5. Step 5: Solve for x
    x = 101,820.01/332.56
  6. Step 6: Final answer
    x = 306.17

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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.