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Finding the Fourth Proportional to 308.24, 425.29 and 183.86

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Solution

The fourth proportional to 308.24, 425.29 and 183.86 is: 253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.24 : 425.29 = 183.86 : x
  2. Step 2: Convert to fraction form
    308.24/425.29 = 183.86/x
  3. Step 3: Cross multiply
    308.24x = 425.29 × 183.86
  4. Step 4: Simplify right side
    308.24x = 78,193.82
  5. Step 5: Solve for x
    x = 78,193.82/308.24
  6. Step 6: Final answer
    x = 253.68

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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.