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Finding the Fourth Proportional to 242.34, 363.37 and 112.40

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Solution

The fourth proportional to 242.34, 363.37 and 112.40 is: 168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.34 : 363.37 = 112.40 : x
  2. Step 2: Convert to fraction form
    242.34/363.37 = 112.40/x
  3. Step 3: Cross multiply
    242.34x = 363.37 × 112.40
  4. Step 4: Simplify right side
    242.34x = 40,842.79
  5. Step 5: Solve for x
    x = 40,842.79/242.34
  6. Step 6: Final answer
    x = 168.54

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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.