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Finding the Fourth Proportional to 275.48, 412.86 and 138.22

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Solution

The fourth proportional to 275.48, 412.86 and 138.22 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.48 : 412.86 = 138.22 : x
  2. Step 2: Convert to fraction form
    275.48/412.86 = 138.22/x
  3. Step 3: Cross multiply
    275.48x = 412.86 × 138.22
  4. Step 4: Simplify right side
    275.48x = 57,065.00
  5. Step 5: Solve for x
    x = 57,065.00/275.48
  6. Step 6: Final answer
    x = 207.15

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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.