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Finding the Fourth Proportional to 438.28, 604.80 and 263.62

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Solution

The fourth proportional to 438.28, 604.80 and 263.62 is: 363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.28 : 604.80 = 263.62 : x
  2. Step 2: Convert to fraction form
    438.28/604.80 = 263.62/x
  3. Step 3: Cross multiply
    438.28x = 604.80 × 263.62
  4. Step 4: Simplify right side
    438.28x = 159,437.38
  5. Step 5: Solve for x
    x = 159,437.38/438.28
  6. Step 6: Final answer
    x = 363.78

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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.