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Finding the Fourth Proportional to 290.62, 400.08 and 225.10

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Solution

The fourth proportional to 290.62, 400.08 and 225.10 is: 309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.62 : 400.08 = 225.10 : x
  2. Step 2: Convert to fraction form
    290.62/400.08 = 225.10/x
  3. Step 3: Cross multiply
    290.62x = 400.08 × 225.10
  4. Step 4: Simplify right side
    290.62x = 90,058.01
  5. Step 5: Solve for x
    x = 90,058.01/290.62
  6. Step 6: Final answer
    x = 309.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.