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Finding the Fourth Proportional to 342.82, 511.82 and 294.09

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Solution

The fourth proportional to 342.82, 511.82 and 294.09 is: 439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 511.82 = 294.09 : x
  2. Step 2: Convert to fraction form
    342.82/511.82 = 294.09/x
  3. Step 3: Cross multiply
    342.82x = 511.82 × 294.09
  4. Step 4: Simplify right side
    342.82x = 150,521.14
  5. Step 5: Solve for x
    x = 150,521.14/342.82
  6. Step 6: Final answer
    x = 439.07

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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.