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Finding the Fourth Proportional to 486.43, 729.18 and 242.72

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Solution

The fourth proportional to 486.43, 729.18 and 242.72 is: 363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.43 : 729.18 = 242.72 : x
  2. Step 2: Convert to fraction form
    486.43/729.18 = 242.72/x
  3. Step 3: Cross multiply
    486.43x = 729.18 × 242.72
  4. Step 4: Simplify right side
    486.43x = 176,986.57
  5. Step 5: Solve for x
    x = 176,986.57/486.43
  6. Step 6: Final answer
    x = 363.85

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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.