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Finding the Fourth Proportional to 458.81, 688.26 and 198.76

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Solution

The fourth proportional to 458.81, 688.26 and 198.76 is: 298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.81 : 688.26 = 198.76 : x
  2. Step 2: Convert to fraction form
    458.81/688.26 = 198.76/x
  3. Step 3: Cross multiply
    458.81x = 688.26 × 198.76
  4. Step 4: Simplify right side
    458.81x = 136,798.56
  5. Step 5: Solve for x
    x = 136,798.56/458.81
  6. Step 6: Final answer
    x = 298.16

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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.