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Finding the Fourth Proportional to 537.75, 806.10 and 342.99

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Solution

The fourth proportional to 537.75, 806.10 and 342.99 is: 514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.75 : 806.10 = 342.99 : x
  2. Step 2: Convert to fraction form
    537.75/806.10 = 342.99/x
  3. Step 3: Cross multiply
    537.75x = 806.10 × 342.99
  4. Step 4: Simplify right side
    537.75x = 276,484.24
  5. Step 5: Solve for x
    x = 276,484.24/537.75
  6. Step 6: Final answer
    x = 514.15

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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.