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Finding the Fourth Proportional to 235.74, 327.05 and 227.10

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Solution

The fourth proportional to 235.74, 327.05 and 227.10 is: 315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.74 : 327.05 = 227.10 : x
  2. Step 2: Convert to fraction form
    235.74/327.05 = 227.10/x
  3. Step 3: Cross multiply
    235.74x = 327.05 × 227.10
  4. Step 4: Simplify right side
    235.74x = 74,271.92
  5. Step 5: Solve for x
    x = 74,271.92/235.74
  6. Step 6: Final answer
    x = 315.06

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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.