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Finding the Fourth Proportional to 284.63, 393.05 and 207.41

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Solution

The fourth proportional to 284.63, 393.05 and 207.41 is: 286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 393.05 = 207.41 : x
  2. Step 2: Convert to fraction form
    284.63/393.05 = 207.41/x
  3. Step 3: Cross multiply
    284.63x = 393.05 × 207.41
  4. Step 4: Simplify right side
    284.63x = 81,521.05
  5. Step 5: Solve for x
    x = 81,521.05/284.63
  6. Step 6: Final answer
    x = 286.42

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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.