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Finding the Fourth Proportional to 290.44, 398.61 and 282.34

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Solution

The fourth proportional to 290.44, 398.61 and 282.34 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.44 : 398.61 = 282.34 : x
  2. Step 2: Convert to fraction form
    290.44/398.61 = 282.34/x
  3. Step 3: Cross multiply
    290.44x = 398.61 × 282.34
  4. Step 4: Simplify right side
    290.44x = 112,543.55
  5. Step 5: Solve for x
    x = 112,543.55/290.44
  6. Step 6: Final answer
    x = 387.49

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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.