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Finding the Fourth Proportional to 225.49, 312.47 and 211.79

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Solution

The fourth proportional to 225.49, 312.47 and 211.79 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.49 : 312.47 = 211.79 : x
  2. Step 2: Convert to fraction form
    225.49/312.47 = 211.79/x
  3. Step 3: Cross multiply
    225.49x = 312.47 × 211.79
  4. Step 4: Simplify right side
    225.49x = 66,178.02
  5. Step 5: Solve for x
    x = 66,178.02/225.49
  6. Step 6: Final answer
    x = 293.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.