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Finding the Fourth Proportional to 486.89, 730.34 and 198.13

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Solution

The fourth proportional to 486.89, 730.34 and 198.13 is: 297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.89 : 730.34 = 198.13 : x
  2. Step 2: Convert to fraction form
    486.89/730.34 = 198.13/x
  3. Step 3: Cross multiply
    486.89x = 730.34 × 198.13
  4. Step 4: Simplify right side
    486.89x = 144,702.26
  5. Step 5: Solve for x
    x = 144,702.26/486.89
  6. Step 6: Final answer
    x = 297.20

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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.