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Finding the Fourth Proportional to 284.85, 392.99 and 196.34

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Solution

The fourth proportional to 284.85, 392.99 and 196.34 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.85 : 392.99 = 196.34 : x
  2. Step 2: Convert to fraction form
    284.85/392.99 = 196.34/x
  3. Step 3: Cross multiply
    284.85x = 392.99 × 196.34
  4. Step 4: Simplify right side
    284.85x = 77,156.71
  5. Step 5: Solve for x
    x = 77,156.71/284.85
  6. Step 6: Final answer
    x = 270.87

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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.