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Finding the Fourth Proportional to 299.49, 450.98 and 261.42

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Solution

The fourth proportional to 299.49, 450.98 and 261.42 is: 393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.49 : 450.98 = 261.42 : x
  2. Step 2: Convert to fraction form
    299.49/450.98 = 261.42/x
  3. Step 3: Cross multiply
    299.49x = 450.98 × 261.42
  4. Step 4: Simplify right side
    299.49x = 117,895.19
  5. Step 5: Solve for x
    x = 117,895.19/299.49
  6. Step 6: Final answer
    x = 393.65

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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.