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Finding the Fourth Proportional to 537.70, 806.53 and 152.95

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Solution

The fourth proportional to 537.70, 806.53 and 152.95 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.70 : 806.53 = 152.95 : x
  2. Step 2: Convert to fraction form
    537.70/806.53 = 152.95/x
  3. Step 3: Cross multiply
    537.70x = 806.53 × 152.95
  4. Step 4: Simplify right side
    537.70x = 123,355.68
  5. Step 5: Solve for x
    x = 123,355.68/537.70
  6. Step 6: Final answer
    x = 229.42

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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.