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Finding the Fourth Proportional to 284.29, 392.47 and 196.81

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Solution

The fourth proportional to 284.29, 392.47 and 196.81 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 392.47 = 196.81 : x
  2. Step 2: Convert to fraction form
    284.29/392.47 = 196.81/x
  3. Step 3: Cross multiply
    284.29x = 392.47 × 196.81
  4. Step 4: Simplify right side
    284.29x = 77,241.04
  5. Step 5: Solve for x
    x = 77,241.04/284.29
  6. Step 6: Final answer
    x = 271.70

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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.