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Finding the Fourth Proportional to 308.66, 425.78 and 215.24

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Solution

The fourth proportional to 308.66, 425.78 and 215.24 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.66 : 425.78 = 215.24 : x
  2. Step 2: Convert to fraction form
    308.66/425.78 = 215.24/x
  3. Step 3: Cross multiply
    308.66x = 425.78 × 215.24
  4. Step 4: Simplify right side
    308.66x = 91,644.89
  5. Step 5: Solve for x
    x = 91,644.89/308.66
  6. Step 6: Final answer
    x = 296.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.