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Finding the Fourth Proportional to 486.34, 729.45 and 197.78

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Solution

The fourth proportional to 486.34, 729.45 and 197.78 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.34 : 729.45 = 197.78 : x
  2. Step 2: Convert to fraction form
    486.34/729.45 = 197.78/x
  3. Step 3: Cross multiply
    486.34x = 729.45 × 197.78
  4. Step 4: Simplify right side
    486.34x = 144,270.62
  5. Step 5: Solve for x
    x = 144,270.62/486.34
  6. Step 6: Final answer
    x = 296.65

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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.