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Finding the Fourth Proportional to 458.23, 687.40 and 150

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Solution

The fourth proportional to 458.23, 687.40 and 150 is: 225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 687.40 = 150 : x
  2. Step 2: Convert to fraction form
    458.23/687.40 = 150/x
  3. Step 3: Cross multiply
    458.23x = 687.40 × 150
  4. Step 4: Simplify right side
    458.23x = 103,110.38
  5. Step 5: Solve for x
    x = 103,110.38/458.23
  6. Step 6: Final answer
    x = 225.02

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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.