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Finding the Fourth Proportional to 486.87, 729.82 and 242.65

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Solution

The fourth proportional to 486.87, 729.82 and 242.65 is: 363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.87 : 729.82 = 242.65 : x
  2. Step 2: Convert to fraction form
    486.87/729.82 = 242.65/x
  3. Step 3: Cross multiply
    486.87x = 729.82 × 242.65
  4. Step 4: Simplify right side
    486.87x = 177,090.82
  5. Step 5: Solve for x
    x = 177,090.82/486.87
  6. Step 6: Final answer
    x = 363.73

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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.