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Finding the Fourth Proportional to 309.08, 426.43 and 220.58

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Solution

The fourth proportional to 309.08, 426.43 and 220.58 is: 304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 426.43 = 220.58 : x
  2. Step 2: Convert to fraction form
    309.08/426.43 = 220.58/x
  3. Step 3: Cross multiply
    309.08x = 426.43 × 220.58
  4. Step 4: Simplify right side
    309.08x = 94,061.67
  5. Step 5: Solve for x
    x = 94,061.67/309.08
  6. Step 6: Final answer
    x = 304.33

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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.