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Finding the Fourth Proportional to 308, 464.54 and 296.48

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Solution

The fourth proportional to 308, 464.54 and 296.48 is: 447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308 : 464.54 = 296.48 : x
  2. Step 2: Convert to fraction form
    308/464.54 = 296.48/x
  3. Step 3: Cross multiply
    308x = 464.54 × 296.48
  4. Step 4: Simplify right side
    308x = 137,726.82
  5. Step 5: Solve for x
    x = 137,726.82/308
  6. Step 6: Final answer
    x = 447.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.