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Finding the Fourth Proportional to 299.55, 451.08 and 261.48

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Solution

The fourth proportional to 299.55, 451.08 and 261.48 is: 393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.55 : 451.08 = 261.48 : x
  2. Step 2: Convert to fraction form
    299.55/451.08 = 261.48/x
  3. Step 3: Cross multiply
    299.55x = 451.08 × 261.48
  4. Step 4: Simplify right side
    299.55x = 117,949.53
  5. Step 5: Solve for x
    x = 117,949.53/299.55
  6. Step 6: Final answer
    x = 393.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.