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Finding the Fourth Proportional to 194.84, 268.88 and 107.52

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Solution

The fourth proportional to 194.84, 268.88 and 107.52 is: 148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 268.88 = 107.52 : x
  2. Step 2: Convert to fraction form
    194.84/268.88 = 107.52/x
  3. Step 3: Cross multiply
    194.84x = 268.88 × 107.52
  4. Step 4: Simplify right side
    194.84x = 28,909.98
  5. Step 5: Solve for x
    x = 28,909.98/194.84
  6. Step 6: Final answer
    x = 148.38

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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.