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Finding the Fourth Proportional to 275.16, 412.89 and 138.21

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Solution

The fourth proportional to 275.16, 412.89 and 138.21 is: 207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.16 : 412.89 = 138.21 : x
  2. Step 2: Convert to fraction form
    275.16/412.89 = 138.21/x
  3. Step 3: Cross multiply
    275.16x = 412.89 × 138.21
  4. Step 4: Simplify right side
    275.16x = 57,065.53
  5. Step 5: Solve for x
    x = 57,065.53/275.16
  6. Step 6: Final answer
    x = 207.39

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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.