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Finding the Fourth Proportional to 438.34, 604.99 and 263.65

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Solution

The fourth proportional to 438.34, 604.99 and 263.65 is: 363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.34 : 604.99 = 263.65 : x
  2. Step 2: Convert to fraction form
    438.34/604.99 = 263.65/x
  3. Step 3: Cross multiply
    438.34x = 604.99 × 263.65
  4. Step 4: Simplify right side
    438.34x = 159,505.61
  5. Step 5: Solve for x
    x = 159,505.61/438.34
  6. Step 6: Final answer
    x = 363.89

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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.