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Finding the Fourth Proportional to 284.50, 392.42 and 205.68

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Solution

The fourth proportional to 284.50, 392.42 and 205.68 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 392.42 = 205.68 : x
  2. Step 2: Convert to fraction form
    284.50/392.42 = 205.68/x
  3. Step 3: Cross multiply
    284.50x = 392.42 × 205.68
  4. Step 4: Simplify right side
    284.50x = 80,712.95
  5. Step 5: Solve for x
    x = 80,712.95/284.50
  6. Step 6: Final answer
    x = 283.70

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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.