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Finding the Fourth Proportional to 284.29, 392.20 and 210.78

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Solution

The fourth proportional to 284.29, 392.20 and 210.78 is: 290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 392.20 = 210.78 : x
  2. Step 2: Convert to fraction form
    284.29/392.20 = 210.78/x
  3. Step 3: Cross multiply
    284.29x = 392.20 × 210.78
  4. Step 4: Simplify right side
    284.29x = 82,667.39
  5. Step 5: Solve for x
    x = 82,667.39/284.29
  6. Step 6: Final answer
    x = 290.79

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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.