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Finding the Fourth Proportional to 290.07, 400.49 and 202.59

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Solution

The fourth proportional to 290.07, 400.49 and 202.59 is: 279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 400.49 = 202.59 : x
  2. Step 2: Convert to fraction form
    290.07/400.49 = 202.59/x
  3. Step 3: Cross multiply
    290.07x = 400.49 × 202.59
  4. Step 4: Simplify right side
    290.07x = 81,134.26
  5. Step 5: Solve for x
    x = 81,134.26/290.07
  6. Step 6: Final answer
    x = 279.71

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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.