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Finding the Fourth Proportional to 538.08, 806.86 and 172.81

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Solution

The fourth proportional to 538.08, 806.86 and 172.81 is: 259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.08 : 806.86 = 172.81 : x
  2. Step 2: Convert to fraction form
    538.08/806.86 = 172.81/x
  3. Step 3: Cross multiply
    538.08x = 806.86 × 172.81
  4. Step 4: Simplify right side
    538.08x = 139,433.48
  5. Step 5: Solve for x
    x = 139,433.48/538.08
  6. Step 6: Final answer
    x = 259.13

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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.