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Finding the Fourth Proportional to 458.75, 688.22 and 198.75

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Solution

The fourth proportional to 458.75, 688.22 and 198.75 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 688.22 = 198.75 : x
  2. Step 2: Convert to fraction form
    458.75/688.22 = 198.75/x
  3. Step 3: Cross multiply
    458.75x = 688.22 × 198.75
  4. Step 4: Simplify right side
    458.75x = 136,783.73
  5. Step 5: Solve for x
    x = 136,783.73/458.75
  6. Step 6: Final answer
    x = 298.17

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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.