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Finding the Fourth Proportional to 360.91, 541.80 and 342.75

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Solution

The fourth proportional to 360.91, 541.80 and 342.75 is: 514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.91 : 541.80 = 342.75 : x
  2. Step 2: Convert to fraction form
    360.91/541.80 = 342.75/x
  3. Step 3: Cross multiply
    360.91x = 541.80 × 342.75
  4. Step 4: Simplify right side
    360.91x = 185,703.98
  5. Step 5: Solve for x
    x = 185,703.98/360.91
  6. Step 6: Final answer
    x = 514.54

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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.