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Finding the Fourth Proportional to 299.42, 446.60 and 290.30

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Solution

The fourth proportional to 299.42, 446.60 and 290.30 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.42 : 446.60 = 290.30 : x
  2. Step 2: Convert to fraction form
    299.42/446.60 = 290.30/x
  3. Step 3: Cross multiply
    299.42x = 446.60 × 290.30
  4. Step 4: Simplify right side
    299.42x = 129,644.30
  5. Step 5: Solve for x
    x = 129,644.30/299.42
  6. Step 6: Final answer
    x = 432.99

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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.