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Finding the Fourth Proportional to 275.43, 412.61 and 138.06

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Solution

The fourth proportional to 275.43, 412.61 and 138.06 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.43 : 412.61 = 138.06 : x
  2. Step 2: Convert to fraction form
    275.43/412.61 = 138.06/x
  3. Step 3: Cross multiply
    275.43x = 412.61 × 138.06
  4. Step 4: Simplify right side
    275.43x = 56,964.25
  5. Step 5: Solve for x
    x = 56,964.25/275.43
  6. Step 6: Final answer
    x = 206.82

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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.