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Finding the Fourth Proportional to 312.75, 468.81 and 150.39

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Solution

The fourth proportional to 312.75, 468.81 and 150.39 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 468.81 = 150.39 : x
  2. Step 2: Convert to fraction form
    312.75/468.81 = 150.39/x
  3. Step 3: Cross multiply
    312.75x = 468.81 × 150.39
  4. Step 4: Simplify right side
    312.75x = 70,504.34
  5. Step 5: Solve for x
    x = 70,504.34/312.75
  6. Step 6: Final answer
    x = 225.43

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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.