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Finding the Fourth Proportional to 537.50, 806.04 and 172.19

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Solution

The fourth proportional to 537.50, 806.04 and 172.19 is: 258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 806.04 = 172.19 : x
  2. Step 2: Convert to fraction form
    537.50/806.04 = 172.19/x
  3. Step 3: Cross multiply
    537.50x = 806.04 × 172.19
  4. Step 4: Simplify right side
    537.50x = 138,788.00
  5. Step 5: Solve for x
    x = 138,788.00/537.50
  6. Step 6: Final answer
    x = 258.21

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Double scale
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Similar ratio
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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.