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Finding the Fourth Proportional to 264.68, 394.61 and 261.48

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Solution

The fourth proportional to 264.68, 394.61 and 261.48 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.68 : 394.61 = 261.48 : x
  2. Step 2: Convert to fraction form
    264.68/394.61 = 261.48/x
  3. Step 3: Cross multiply
    264.68x = 394.61 × 261.48
  4. Step 4: Simplify right side
    264.68x = 103,182.62
  5. Step 5: Solve for x
    x = 103,182.62/264.68
  6. Step 6: Final answer
    x = 389.84

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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.