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Finding the Fourth Proportional to 242.18, 363.18 and 79.80

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Solution

The fourth proportional to 242.18, 363.18 and 79.80 is: 119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.18 : 363.18 = 79.80 : x
  2. Step 2: Convert to fraction form
    242.18/363.18 = 79.80/x
  3. Step 3: Cross multiply
    242.18x = 363.18 × 79.80
  4. Step 4: Simplify right side
    242.18x = 28,981.76
  5. Step 5: Solve for x
    x = 28,981.76/242.18
  6. Step 6: Final answer
    x = 119.67

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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.