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Finding the Fourth Proportional to 225.72, 336.96 and 177.84

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Solution

The fourth proportional to 225.72, 336.96 and 177.84 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.72 : 336.96 = 177.84 : x
  2. Step 2: Convert to fraction form
    225.72/336.96 = 177.84/x
  3. Step 3: Cross multiply
    225.72x = 336.96 × 177.84
  4. Step 4: Simplify right side
    225.72x = 59,924.97
  5. Step 5: Solve for x
    x = 59,924.97/225.72
  6. Step 6: Final answer
    x = 265.48

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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.