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Finding the Fourth Proportional to 458.03, 686.57 and 198.20

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Solution

The fourth proportional to 458.03, 686.57 and 198.20 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.03 : 686.57 = 198.20 : x
  2. Step 2: Convert to fraction form
    458.03/686.57 = 198.20/x
  3. Step 3: Cross multiply
    458.03x = 686.57 × 198.20
  4. Step 4: Simplify right side
    458.03x = 136,073.75
  5. Step 5: Solve for x
    x = 136,073.75/458.03
  6. Step 6: Final answer
    x = 297.09

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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.