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Finding the Fourth Proportional to 340.12, 467.94 and 296.56

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Solution

The fourth proportional to 340.12, 467.94 and 296.56 is: 408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.12 : 467.94 = 296.56 : x
  2. Step 2: Convert to fraction form
    340.12/467.94 = 296.56/x
  3. Step 3: Cross multiply
    340.12x = 467.94 × 296.56
  4. Step 4: Simplify right side
    340.12x = 138,772.29
  5. Step 5: Solve for x
    x = 138,772.29/340.12
  6. Step 6: Final answer
    x = 408.01

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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.