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Finding the Fourth Proportional to 486.89, 729.93 and 198.53

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Solution

The fourth proportional to 486.89, 729.93 and 198.53 is: 297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 729.93 = 198.53 : x
  2. Step 2: Convert to fraction form
    486.89/729.93 = 198.53/x
  3. Step 3: Cross multiply
    486.89x = 729.93 × 198.53
  4. Step 4: Simplify right side
    486.89x = 144,913.00
  5. Step 5: Solve for x
    x = 144,913.00/486.89
  6. Step 6: Final answer
    x = 297.63

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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.