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Finding the Fourth Proportional to 284.47, 392.30 and 206.30

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Solution

The fourth proportional to 284.47, 392.30 and 206.30 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.47 : 392.30 = 206.30 : x
  2. Step 2: Convert to fraction form
    284.47/392.30 = 206.30/x
  3. Step 3: Cross multiply
    284.47x = 392.30 × 206.30
  4. Step 4: Simplify right side
    284.47x = 80,930.46
  5. Step 5: Solve for x
    x = 80,930.46/284.47
  6. Step 6: Final answer
    x = 284.50

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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.