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Finding the Fourth Proportional to 395.56, 545.78 and 240.28

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Solution

The fourth proportional to 395.56, 545.78 and 240.28 is: 331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.56 : 545.78 = 240.28 : x
  2. Step 2: Convert to fraction form
    395.56/545.78 = 240.28/x
  3. Step 3: Cross multiply
    395.56x = 545.78 × 240.28
  4. Step 4: Simplify right side
    395.56x = 131,140.02
  5. Step 5: Solve for x
    x = 131,140.02/395.56
  6. Step 6: Final answer
    x = 331.53

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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.