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Finding the Fourth Proportional to 394.63, 592.04 and 138.13

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Solution

The fourth proportional to 394.63, 592.04 and 138.13 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.63 : 592.04 = 138.13 : x
  2. Step 2: Convert to fraction form
    394.63/592.04 = 138.13/x
  3. Step 3: Cross multiply
    394.63x = 592.04 × 138.13
  4. Step 4: Simplify right side
    394.63x = 81,778.49
  5. Step 5: Solve for x
    x = 81,778.49/394.63
  6. Step 6: Final answer
    x = 207.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.