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Finding the Fourth Proportional to 537.68, 806.60 and 190.98

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Solution

The fourth proportional to 537.68, 806.60 and 190.98 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.68 : 806.60 = 190.98 : x
  2. Step 2: Convert to fraction form
    537.68/806.60 = 190.98/x
  3. Step 3: Cross multiply
    537.68x = 806.60 × 190.98
  4. Step 4: Simplify right side
    537.68x = 154,047.02
  5. Step 5: Solve for x
    x = 154,047.02/537.68
  6. Step 6: Final answer
    x = 286.50

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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.