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Finding the Fourth Proportional to 299.90, 452.42 and 290.69

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Solution

The fourth proportional to 299.90, 452.42 and 290.69 is: 438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 452.42 = 290.69 : x
  2. Step 2: Convert to fraction form
    299.90/452.42 = 290.69/x
  3. Step 3: Cross multiply
    299.90x = 452.42 × 290.69
  4. Step 4: Simplify right side
    299.90x = 131,513.04
  5. Step 5: Solve for x
    x = 131,513.04/299.90
  6. Step 6: Final answer
    x = 438.52

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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.