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Finding the Fourth Proportional to 138.34, 208.05 and 130.20

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Solution

The fourth proportional to 138.34, 208.05 and 130.20 is: 195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 208.05 = 130.20 : x
  2. Step 2: Convert to fraction form
    138.34/208.05 = 130.20/x
  3. Step 3: Cross multiply
    138.34x = 208.05 × 130.20
  4. Step 4: Simplify right side
    138.34x = 27,088.11
  5. Step 5: Solve for x
    x = 27,088.11/138.34
  6. Step 6: Final answer
    x = 195.81

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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.