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Finding the Fourth Proportional to 290.01, 398.51 and 231.69

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Solution

The fourth proportional to 290.01, 398.51 and 231.69 is: 318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.01 : 398.51 = 231.69 : x
  2. Step 2: Convert to fraction form
    290.01/398.51 = 231.69/x
  3. Step 3: Cross multiply
    290.01x = 398.51 × 231.69
  4. Step 4: Simplify right side
    290.01x = 92,331.36
  5. Step 5: Solve for x
    x = 92,331.36/290.01
  6. Step 6: Final answer
    x = 318.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.