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Finding the Fourth Proportional to 438.50, 604.92 and 320.29

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Solution

The fourth proportional to 438.50, 604.92 and 320.29 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.50 : 604.92 = 320.29 : x
  2. Step 2: Convert to fraction form
    438.50/604.92 = 320.29/x
  3. Step 3: Cross multiply
    438.50x = 604.92 × 320.29
  4. Step 4: Simplify right side
    438.50x = 193,747.71
  5. Step 5: Solve for x
    x = 193,747.71/438.50
  6. Step 6: Final answer
    x = 441.85

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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.