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Finding the Fourth Proportional to 264.21, 394.01 and 261.78

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Solution

The fourth proportional to 264.21, 394.01 and 261.78 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.21 : 394.01 = 261.78 : x
  2. Step 2: Convert to fraction form
    264.21/394.01 = 261.78/x
  3. Step 3: Cross multiply
    264.21x = 394.01 × 261.78
  4. Step 4: Simplify right side
    264.21x = 103,142.63
  5. Step 5: Solve for x
    x = 103,142.63/264.21
  6. Step 6: Final answer
    x = 390.38

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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.