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Finding the Fourth Proportional to 486.85, 729.62 and 242.83

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Solution

The fourth proportional to 486.85, 729.62 and 242.83 is: 363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.85 : 729.62 = 242.83 : x
  2. Step 2: Convert to fraction form
    486.85/729.62 = 242.83/x
  3. Step 3: Cross multiply
    486.85x = 729.62 × 242.83
  4. Step 4: Simplify right side
    486.85x = 177,172.41
  5. Step 5: Solve for x
    x = 177,172.41/486.85
  6. Step 6: Final answer
    x = 363.92

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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.