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Finding the Fourth Proportional to 458.82, 688.28 and 150.68

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Solution

The fourth proportional to 458.82, 688.28 and 150.68 is: 226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 688.28 = 150.68 : x
  2. Step 2: Convert to fraction form
    458.82/688.28 = 150.68/x
  3. Step 3: Cross multiply
    458.82x = 688.28 × 150.68
  4. Step 4: Simplify right side
    458.82x = 103,711.00
  5. Step 5: Solve for x
    x = 103,711.00/458.82
  6. Step 6: Final answer
    x = 226.04

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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.