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Finding the Fourth Proportional to 284.11, 392.22 and 209.36

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Solution

The fourth proportional to 284.11, 392.22 and 209.36 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.11 : 392.22 = 209.36 : x
  2. Step 2: Convert to fraction form
    284.11/392.22 = 209.36/x
  3. Step 3: Cross multiply
    284.11x = 392.22 × 209.36
  4. Step 4: Simplify right side
    284.11x = 82,113.22
  5. Step 5: Solve for x
    x = 82,113.22/284.11
  6. Step 6: Final answer
    x = 289.02

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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.