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Finding the Fourth Proportional to 486, 729.16 and 197.28

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Solution

The fourth proportional to 486, 729.16 and 197.28 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 729.16 = 197.28 : x
  2. Step 2: Convert to fraction form
    486/729.16 = 197.28/x
  3. Step 3: Cross multiply
    486x = 729.16 × 197.28
  4. Step 4: Simplify right side
    486x = 143,848.68
  5. Step 5: Solve for x
    x = 143,848.68/486
  6. Step 6: Final answer
    x = 295.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.