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Finding the Fourth Proportional to 290.12, 433.08 and 251.71

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Solution

The fourth proportional to 290.12, 433.08 and 251.71 is: 375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 433.08 = 251.71 : x
  2. Step 2: Convert to fraction form
    290.12/433.08 = 251.71/x
  3. Step 3: Cross multiply
    290.12x = 433.08 × 251.71
  4. Step 4: Simplify right side
    290.12x = 109,009.48
  5. Step 5: Solve for x
    x = 109,009.48/290.12
  6. Step 6: Final answer
    x = 375.75

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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.