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Finding the Fourth Proportional to 161.13, 242.66 and 141.08

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Solution

The fourth proportional to 161.13, 242.66 and 141.08 is: 212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.13 : 242.66 = 141.08 : x
  2. Step 2: Convert to fraction form
    161.13/242.66 = 141.08/x
  3. Step 3: Cross multiply
    161.13x = 242.66 × 141.08
  4. Step 4: Simplify right side
    161.13x = 34,233.46
  5. Step 5: Solve for x
    x = 34,233.46/161.13
  6. Step 6: Final answer
    x = 212.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.