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Finding the Fourth Proportional to 438.59, 604.99 and 261.43

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Solution

The fourth proportional to 438.59, 604.99 and 261.43 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.59 : 604.99 = 261.43 : x
  2. Step 2: Convert to fraction form
    438.59/604.99 = 261.43/x
  3. Step 3: Cross multiply
    438.59x = 604.99 × 261.43
  4. Step 4: Simplify right side
    438.59x = 158,163.28
  5. Step 5: Solve for x
    x = 158,163.28/438.59
  6. Step 6: Final answer
    x = 360.62

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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.