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Finding the Fourth Proportional to 363.55, 501.68 and 197.76

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Solution

The fourth proportional to 363.55, 501.68 and 197.76 is: 272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.55 : 501.68 = 197.76 : x
  2. Step 2: Convert to fraction form
    363.55/501.68 = 197.76/x
  3. Step 3: Cross multiply
    363.55x = 501.68 × 197.76
  4. Step 4: Simplify right side
    363.55x = 99,210.98
  5. Step 5: Solve for x
    x = 99,210.98/363.55
  6. Step 6: Final answer
    x = 272.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.