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Finding the Fourth Proportional to 248.75, 342.88 and 225.67

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Solution

The fourth proportional to 248.75, 342.88 and 225.67 is: 311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.75 : 342.88 = 225.67 : x
  2. Step 2: Convert to fraction form
    248.75/342.88 = 225.67/x
  3. Step 3: Cross multiply
    248.75x = 342.88 × 225.67
  4. Step 4: Simplify right side
    248.75x = 77,376.31
  5. Step 5: Solve for x
    x = 77,376.31/248.75
  6. Step 6: Final answer
    x = 311.06

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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.