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Finding the Fourth Proportional to 294.42, 405.78 and 239.04

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Solution

The fourth proportional to 294.42, 405.78 and 239.04 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.42 : 405.78 = 239.04 : x
  2. Step 2: Convert to fraction form
    294.42/405.78 = 239.04/x
  3. Step 3: Cross multiply
    294.42x = 405.78 × 239.04
  4. Step 4: Simplify right side
    294.42x = 96,997.65
  5. Step 5: Solve for x
    x = 96,997.65/294.42
  6. Step 6: Final answer
    x = 329.45

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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.