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Finding the Fourth Proportional to 290.18, 398.39 and 265.55

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Solution

The fourth proportional to 290.18, 398.39 and 265.55 is: 364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.18 : 398.39 = 265.55 : x
  2. Step 2: Convert to fraction form
    290.18/398.39 = 265.55/x
  3. Step 3: Cross multiply
    290.18x = 398.39 × 265.55
  4. Step 4: Simplify right side
    290.18x = 105,789.14
  5. Step 5: Solve for x
    x = 105,789.14/290.18
  6. Step 6: Final answer
    x = 364.56

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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.