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Finding the Fourth Proportional to 299.40, 446.73 and 251.40

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Solution

The fourth proportional to 299.40, 446.73 and 251.40 is: 375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 446.73 = 251.40 : x
  2. Step 2: Convert to fraction form
    299.40/446.73 = 251.40/x
  3. Step 3: Cross multiply
    299.40x = 446.73 × 251.40
  4. Step 4: Simplify right side
    299.40x = 112,307.92
  5. Step 5: Solve for x
    x = 112,307.92/299.40
  6. Step 6: Final answer
    x = 375.11

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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.