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Finding the Fourth Proportional to 308.41, 426.26 and 242.80

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Solution

The fourth proportional to 308.41, 426.26 and 242.80 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.41 : 426.26 = 242.80 : x
  2. Step 2: Convert to fraction form
    308.41/426.26 = 242.80/x
  3. Step 3: Cross multiply
    308.41x = 426.26 × 242.80
  4. Step 4: Simplify right side
    308.41x = 103,495.93
  5. Step 5: Solve for x
    x = 103,495.93/308.41
  6. Step 6: Final answer
    x = 335.58

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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.