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Finding the Fourth Proportional to 308.52, 460.83 and 259.92

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Solution

The fourth proportional to 308.52, 460.83 and 259.92 is: 388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.52 : 460.83 = 259.92 : x
  2. Step 2: Convert to fraction form
    308.52/460.83 = 259.92/x
  3. Step 3: Cross multiply
    308.52x = 460.83 × 259.92
  4. Step 4: Simplify right side
    308.52x = 119,778.93
  5. Step 5: Solve for x
    x = 119,778.93/308.52
  6. Step 6: Final answer
    x = 388.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.