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Finding the Fourth Proportional to 284.46, 392.78 and 211.56

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Solution

The fourth proportional to 284.46, 392.78 and 211.56 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.46 : 392.78 = 211.56 : x
  2. Step 2: Convert to fraction form
    284.46/392.78 = 211.56/x
  3. Step 3: Cross multiply
    284.46x = 392.78 × 211.56
  4. Step 4: Simplify right side
    284.46x = 83,096.54
  5. Step 5: Solve for x
    x = 83,096.54/284.46
  6. Step 6: Final answer
    x = 292.12

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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.