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Finding the Fourth Proportional to 242.52, 363.28 and 161.40

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Solution

The fourth proportional to 242.52, 363.28 and 161.40 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.52 : 363.28 = 161.40 : x
  2. Step 2: Convert to fraction form
    242.52/363.28 = 161.40/x
  3. Step 3: Cross multiply
    242.52x = 363.28 × 161.40
  4. Step 4: Simplify right side
    242.52x = 58,633.39
  5. Step 5: Solve for x
    x = 58,633.39/242.52
  6. Step 6: Final answer
    x = 241.77

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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.