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Finding the Fourth Proportional to 161.13, 242.01 and 138.05

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Solution

The fourth proportional to 161.13, 242.01 and 138.05 is: 207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.13 : 242.01 = 138.05 : x
  2. Step 2: Convert to fraction form
    161.13/242.01 = 138.05/x
  3. Step 3: Cross multiply
    161.13x = 242.01 × 138.05
  4. Step 4: Simplify right side
    161.13x = 33,407.75
  5. Step 5: Solve for x
    x = 33,407.75/161.13
  6. Step 6: Final answer
    x = 207.33

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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.