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Finding the Fourth Proportional to 458.91, 688.37 and 150.78

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Solution

The fourth proportional to 458.91, 688.37 and 150.78 is: 226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 688.37 = 150.78 : x
  2. Step 2: Convert to fraction form
    458.91/688.37 = 150.78/x
  3. Step 3: Cross multiply
    458.91x = 688.37 × 150.78
  4. Step 4: Simplify right side
    458.91x = 103,794.82
  5. Step 5: Solve for x
    x = 103,794.82/458.91
  6. Step 6: Final answer
    x = 226.18

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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.