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Finding the Fourth Proportional to 458.23, 686.85 and 198.10

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Solution

The fourth proportional to 458.23, 686.85 and 198.10 is: 296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 686.85 = 198.10 : x
  2. Step 2: Convert to fraction form
    458.23/686.85 = 198.10/x
  3. Step 3: Cross multiply
    458.23x = 686.85 × 198.10
  4. Step 4: Simplify right side
    458.23x = 136,064.99
  5. Step 5: Solve for x
    x = 136,064.99/458.23
  6. Step 6: Final answer
    x = 296.94

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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.