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Finding the Fourth Proportional to 226.62, 312.75 and 157.50

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Solution

The fourth proportional to 226.62, 312.75 and 157.50 is: 217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.62 : 312.75 = 157.50 : x
  2. Step 2: Convert to fraction form
    226.62/312.75 = 157.50/x
  3. Step 3: Cross multiply
    226.62x = 312.75 × 157.50
  4. Step 4: Simplify right side
    226.62x = 49,258.13
  5. Step 5: Solve for x
    x = 49,258.13/226.62
  6. Step 6: Final answer
    x = 217.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.