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Finding the Fourth Proportional to 393.04, 541.78 and 261.82

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Solution

The fourth proportional to 393.04, 541.78 and 261.82 is: 360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.04 : 541.78 = 261.82 : x
  2. Step 2: Convert to fraction form
    393.04/541.78 = 261.82/x
  3. Step 3: Cross multiply
    393.04x = 541.78 × 261.82
  4. Step 4: Simplify right side
    393.04x = 141,846.83
  5. Step 5: Solve for x
    x = 141,846.83/393.04
  6. Step 6: Final answer
    x = 360.90

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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.