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Finding the Fourth Proportional to 299.53, 446.35 and 289.74

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Solution

The fourth proportional to 299.53, 446.35 and 289.74 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 446.35 = 289.74 : x
  2. Step 2: Convert to fraction form
    299.53/446.35 = 289.74/x
  3. Step 3: Cross multiply
    299.53x = 446.35 × 289.74
  4. Step 4: Simplify right side
    299.53x = 129,324.72
  5. Step 5: Solve for x
    x = 129,324.72/299.53
  6. Step 6: Final answer
    x = 431.76

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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.