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Finding the Fourth Proportional to 264.84, 365.96 and 194.78

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Solution

The fourth proportional to 264.84, 365.96 and 194.78 is: 269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.84 : 365.96 = 194.78 : x
  2. Step 2: Convert to fraction form
    264.84/365.96 = 194.78/x
  3. Step 3: Cross multiply
    264.84x = 365.96 × 194.78
  4. Step 4: Simplify right side
    264.84x = 71,281.69
  5. Step 5: Solve for x
    x = 71,281.69/264.84
  6. Step 6: Final answer
    x = 269.15

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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.