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Finding the Fourth Proportional to 290.88, 401.12 and 259.27

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Solution

The fourth proportional to 290.88, 401.12 and 259.27 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.88 : 401.12 = 259.27 : x
  2. Step 2: Convert to fraction form
    290.88/401.12 = 259.27/x
  3. Step 3: Cross multiply
    290.88x = 401.12 × 259.27
  4. Step 4: Simplify right side
    290.88x = 103,998.38
  5. Step 5: Solve for x
    x = 103,998.38/290.88
  6. Step 6: Final answer
    x = 357.53

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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.