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Finding the Fourth Proportional to 362.33, 541.38 and 278.49

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Solution

The fourth proportional to 362.33, 541.38 and 278.49 is: 416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.33 : 541.38 = 278.49 : x
  2. Step 2: Convert to fraction form
    362.33/541.38 = 278.49/x
  3. Step 3: Cross multiply
    362.33x = 541.38 × 278.49
  4. Step 4: Simplify right side
    362.33x = 150,767.52
  5. Step 5: Solve for x
    x = 150,767.52/362.33
  6. Step 6: Final answer
    x = 416.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.