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Finding the Fourth Proportional to 458.75, 688.36 and 199.00

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Solution

The fourth proportional to 458.75, 688.36 and 199.00 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 688.36 = 199.00 : x
  2. Step 2: Convert to fraction form
    458.75/688.36 = 199.00/x
  3. Step 3: Cross multiply
    458.75x = 688.36 × 199.00
  4. Step 4: Simplify right side
    458.75x = 136,981.42
  5. Step 5: Solve for x
    x = 136,981.42/458.75
  6. Step 6: Final answer
    x = 298.60

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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.