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Finding the Fourth Proportional to 438.30, 604.46 and 320.54

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Solution

The fourth proportional to 438.30, 604.46 and 320.54 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.30 : 604.46 = 320.54 : x
  2. Step 2: Convert to fraction form
    438.30/604.46 = 320.54/x
  3. Step 3: Cross multiply
    438.30x = 604.46 × 320.54
  4. Step 4: Simplify right side
    438.30x = 193,753.61
  5. Step 5: Solve for x
    x = 193,753.61/438.30
  6. Step 6: Final answer
    x = 442.06

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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.