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Finding the Fourth Proportional to 225.65, 311.27 and 175.84

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Solution

The fourth proportional to 225.65, 311.27 and 175.84 is: 242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.65 : 311.27 = 175.84 : x
  2. Step 2: Convert to fraction form
    225.65/311.27 = 175.84/x
  3. Step 3: Cross multiply
    225.65x = 311.27 × 175.84
  4. Step 4: Simplify right side
    225.65x = 54,732.06
  5. Step 5: Solve for x
    x = 54,732.06/225.65
  6. Step 6: Final answer
    x = 242.55

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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.