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Finding the Fourth Proportional to 308.54, 460.88 and 231.08

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Solution

The fourth proportional to 308.54, 460.88 and 231.08 is: 345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.54 : 460.88 = 231.08 : x
  2. Step 2: Convert to fraction form
    308.54/460.88 = 231.08/x
  3. Step 3: Cross multiply
    308.54x = 460.88 × 231.08
  4. Step 4: Simplify right side
    308.54x = 106,500.15
  5. Step 5: Solve for x
    x = 106,500.15/308.54
  6. Step 6: Final answer
    x = 345.18

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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.