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Finding the Fourth Proportional to 324.16, 485.70 and 227.50

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Solution

The fourth proportional to 324.16, 485.70 and 227.50 is: 340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 485.70 = 227.50 : x
  2. Step 2: Convert to fraction form
    324.16/485.70 = 227.50/x
  3. Step 3: Cross multiply
    324.16x = 485.70 × 227.50
  4. Step 4: Simplify right side
    324.16x = 110,496.75
  5. Step 5: Solve for x
    x = 110,496.75/324.16
  6. Step 6: Final answer
    x = 340.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.