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Finding the Fourth Proportional to 242.40, 363.76 and 120.72

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Solution

The fourth proportional to 242.40, 363.76 and 120.72 is: 181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 363.76 = 120.72 : x
  2. Step 2: Convert to fraction form
    242.40/363.76 = 120.72/x
  3. Step 3: Cross multiply
    242.40x = 363.76 × 120.72
  4. Step 4: Simplify right side
    242.40x = 43,913.11
  5. Step 5: Solve for x
    x = 43,913.11/242.40
  6. Step 6: Final answer
    x = 181.16

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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.