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Finding the Fourth Proportional to 377.76, 520.78 and 284.61

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Solution

The fourth proportional to 377.76, 520.78 and 284.61 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.76 : 520.78 = 284.61 : x
  2. Step 2: Convert to fraction form
    377.76/520.78 = 284.61/x
  3. Step 3: Cross multiply
    377.76x = 520.78 × 284.61
  4. Step 4: Simplify right side
    377.76x = 148,220.97
  5. Step 5: Solve for x
    x = 148,220.97/377.76
  6. Step 6: Final answer
    x = 392.36

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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.