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Finding the Fourth Proportional to 486.13, 729.30 and 197.59

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Solution

The fourth proportional to 486.13, 729.30 and 197.59 is: 296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.13 : 729.30 = 197.59 : x
  2. Step 2: Convert to fraction form
    486.13/729.30 = 197.59/x
  3. Step 3: Cross multiply
    486.13x = 729.30 × 197.59
  4. Step 4: Simplify right side
    486.13x = 144,102.39
  5. Step 5: Solve for x
    x = 144,102.39/486.13
  6. Step 6: Final answer
    x = 296.43

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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.