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Finding the Fourth Proportional to 294.43, 441.43 and 138.20

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Solution

The fourth proportional to 294.43, 441.43 and 138.20 is: 207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.43 : 441.43 = 138.20 : x
  2. Step 2: Convert to fraction form
    294.43/441.43 = 138.20/x
  3. Step 3: Cross multiply
    294.43x = 441.43 × 138.20
  4. Step 4: Simplify right side
    294.43x = 61,003.42
  5. Step 5: Solve for x
    x = 61,003.42/294.43
  6. Step 6: Final answer
    x = 207.20

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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.