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Finding the Fourth Proportional to 309.09, 426.20 and 230.55

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Solution

The fourth proportional to 309.09, 426.20 and 230.55 is: 317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.09 : 426.20 = 230.55 : x
  2. Step 2: Convert to fraction form
    309.09/426.20 = 230.55/x
  3. Step 3: Cross multiply
    309.09x = 426.20 × 230.55
  4. Step 4: Simplify right side
    309.09x = 98,259.26
  5. Step 5: Solve for x
    x = 98,259.26/309.09
  6. Step 6: Final answer
    x = 317.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.