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Finding the Fourth Proportional to 438.13, 604.61 and 238.96

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Solution

The fourth proportional to 438.13, 604.61 and 238.96 is: 329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.13 : 604.61 = 238.96 : x
  2. Step 2: Convert to fraction form
    438.13/604.61 = 238.96/x
  3. Step 3: Cross multiply
    438.13x = 604.61 × 238.96
  4. Step 4: Simplify right side
    438.13x = 144,477.68
  5. Step 5: Solve for x
    x = 144,477.68/438.13
  6. Step 6: Final answer
    x = 329.76

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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.