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Finding the Fourth Proportional to 196.79, 293.25 and 191.22

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Solution

The fourth proportional to 196.79, 293.25 and 191.22 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.79 : 293.25 = 191.22 : x
  2. Step 2: Convert to fraction form
    196.79/293.25 = 191.22/x
  3. Step 3: Cross multiply
    196.79x = 293.25 × 191.22
  4. Step 4: Simplify right side
    196.79x = 56,075.27
  5. Step 5: Solve for x
    x = 56,075.27/196.79
  6. Step 6: Final answer
    x = 284.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.