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Finding the Fourth Proportional to 308.86, 426.36 and 257.02

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Solution

The fourth proportional to 308.86, 426.36 and 257.02 is: 354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.86 : 426.36 = 257.02 : x
  2. Step 2: Convert to fraction form
    308.86/426.36 = 257.02/x
  3. Step 3: Cross multiply
    308.86x = 426.36 × 257.02
  4. Step 4: Simplify right side
    308.86x = 109,583.05
  5. Step 5: Solve for x
    x = 109,583.05/308.86
  6. Step 6: Final answer
    x = 354.80

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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.