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Finding the Fourth Proportional to 308.80, 460.63 and 285.31

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Solution

The fourth proportional to 308.80, 460.63 and 285.31 is: 425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.80 : 460.63 = 285.31 : x
  2. Step 2: Convert to fraction form
    308.80/460.63 = 285.31/x
  3. Step 3: Cross multiply
    308.80x = 460.63 × 285.31
  4. Step 4: Simplify right side
    308.80x = 131,422.35
  5. Step 5: Solve for x
    x = 131,422.35/308.80
  6. Step 6: Final answer
    x = 425.59

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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.