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Finding the Fourth Proportional to 360.82, 541.64 and 239.05

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Solution

The fourth proportional to 360.82, 541.64 and 239.05 is: 358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.82 : 541.64 = 239.05 : x
  2. Step 2: Convert to fraction form
    360.82/541.64 = 239.05/x
  3. Step 3: Cross multiply
    360.82x = 541.64 × 239.05
  4. Step 4: Simplify right side
    360.82x = 129,479.04
  5. Step 5: Solve for x
    x = 129,479.04/360.82
  6. Step 6: Final answer
    x = 358.85

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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.