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Finding the Fourth Proportional to 290.06, 398.12 and 258.26

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Solution

The fourth proportional to 290.06, 398.12 and 258.26 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.06 : 398.12 = 258.26 : x
  2. Step 2: Convert to fraction form
    290.06/398.12 = 258.26/x
  3. Step 3: Cross multiply
    290.06x = 398.12 × 258.26
  4. Step 4: Simplify right side
    290.06x = 102,818.47
  5. Step 5: Solve for x
    x = 102,818.47/290.06
  6. Step 6: Final answer
    x = 354.47

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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.