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Finding the Fourth Proportional to 284.19, 392.22 and 196.98

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Solution

The fourth proportional to 284.19, 392.22 and 196.98 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.19 : 392.22 = 196.98 : x
  2. Step 2: Convert to fraction form
    284.19/392.22 = 196.98/x
  3. Step 3: Cross multiply
    284.19x = 392.22 × 196.98
  4. Step 4: Simplify right side
    284.19x = 77,259.50
  5. Step 5: Solve for x
    x = 77,259.50/284.19
  6. Step 6: Final answer
    x = 271.86

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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.