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Finding the Fourth Proportional to 242.29, 363.53 and 120.43

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Solution

The fourth proportional to 242.29, 363.53 and 120.43 is: 180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.29 : 363.53 = 120.43 : x
  2. Step 2: Convert to fraction form
    242.29/363.53 = 120.43/x
  3. Step 3: Cross multiply
    242.29x = 363.53 × 120.43
  4. Step 4: Simplify right side
    242.29x = 43,779.92
  5. Step 5: Solve for x
    x = 43,779.92/242.29
  6. Step 6: Final answer
    x = 180.69

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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.