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Finding the Fourth Proportional to 252.75, 376.61 and 225.50

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Solution

The fourth proportional to 252.75, 376.61 and 225.50 is: 336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 376.61 = 225.50 : x
  2. Step 2: Convert to fraction form
    252.75/376.61 = 225.50/x
  3. Step 3: Cross multiply
    252.75x = 376.61 × 225.50
  4. Step 4: Simplify right side
    252.75x = 84,924.24
  5. Step 5: Solve for x
    x = 84,924.24/252.75
  6. Step 6: Final answer
    x = 336.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.