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Finding the Fourth Proportional to 395.51, 545.78 and 227.48

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Solution

The fourth proportional to 395.51, 545.78 and 227.48 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.51 : 545.78 = 227.48 : x
  2. Step 2: Convert to fraction form
    395.51/545.78 = 227.48/x
  3. Step 3: Cross multiply
    395.51x = 545.78 × 227.48
  4. Step 4: Simplify right side
    395.51x = 124,154.03
  5. Step 5: Solve for x
    x = 124,154.03/395.51
  6. Step 6: Final answer
    x = 313.91

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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.