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Finding the Fourth Proportional to 332.06, 458.82 and 320.38

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Solution

The fourth proportional to 332.06, 458.82 and 320.38 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.06 : 458.82 = 320.38 : x
  2. Step 2: Convert to fraction form
    332.06/458.82 = 320.38/x
  3. Step 3: Cross multiply
    332.06x = 458.82 × 320.38
  4. Step 4: Simplify right side
    332.06x = 146,996.75
  5. Step 5: Solve for x
    x = 146,996.75/332.06
  6. Step 6: Final answer
    x = 442.68

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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.