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Finding the Fourth Proportional to 343.28, 474.64 and 300.08

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Solution

The fourth proportional to 343.28, 474.64 and 300.08 is: 414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.28 : 474.64 = 300.08 : x
  2. Step 2: Convert to fraction form
    343.28/474.64 = 300.08/x
  3. Step 3: Cross multiply
    343.28x = 474.64 × 300.08
  4. Step 4: Simplify right side
    343.28x = 142,429.97
  5. Step 5: Solve for x
    x = 142,429.97/343.28
  6. Step 6: Final answer
    x = 414.91

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Why These Related Problems?

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