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Finding the Fourth Proportional to 226.71, 313.04 and 177.50

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Solution

The fourth proportional to 226.71, 313.04 and 177.50 is: 245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.71 : 313.04 = 177.50 : x
  2. Step 2: Convert to fraction form
    226.71/313.04 = 177.50/x
  3. Step 3: Cross multiply
    226.71x = 313.04 × 177.50
  4. Step 4: Simplify right side
    226.71x = 55,564.60
  5. Step 5: Solve for x
    x = 55,564.60/226.71
  6. Step 6: Final answer
    x = 245.09

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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.