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Finding the Fourth Proportional to 290.64, 433.89 and 252.42

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Solution

The fourth proportional to 290.64, 433.89 and 252.42 is: 376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 433.89 = 252.42 : x
  2. Step 2: Convert to fraction form
    290.64/433.89 = 252.42/x
  3. Step 3: Cross multiply
    290.64x = 433.89 × 252.42
  4. Step 4: Simplify right side
    290.64x = 109,522.51
  5. Step 5: Solve for x
    x = 109,522.51/290.64
  6. Step 6: Final answer
    x = 376.83

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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.