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Finding the Fourth Proportional to 264.69, 394.20 and 261.84

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Solution

The fourth proportional to 264.69, 394.20 and 261.84 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.69 : 394.20 = 261.84 : x
  2. Step 2: Convert to fraction form
    264.69/394.20 = 261.84/x
  3. Step 3: Cross multiply
    264.69x = 394.20 × 261.84
  4. Step 4: Simplify right side
    264.69x = 103,217.33
  5. Step 5: Solve for x
    x = 103,217.33/264.69
  6. Step 6: Final answer
    x = 389.96

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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.