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Finding the Fourth Proportional to 378.44, 521.78 and 284.79

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Solution

The fourth proportional to 378.44, 521.78 and 284.79 is: 392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.44 : 521.78 = 284.79 : x
  2. Step 2: Convert to fraction form
    378.44/521.78 = 284.79/x
  3. Step 3: Cross multiply
    378.44x = 521.78 × 284.79
  4. Step 4: Simplify right side
    378.44x = 148,596.93
  5. Step 5: Solve for x
    x = 148,596.93/378.44
  6. Step 6: Final answer
    x = 392.65

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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.