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Finding the Fourth Proportional to 290.18, 400.32 and 185.26

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Solution

The fourth proportional to 290.18, 400.32 and 185.26 is: 255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.18 : 400.32 = 185.26 : x
  2. Step 2: Convert to fraction form
    290.18/400.32 = 185.26/x
  3. Step 3: Cross multiply
    290.18x = 400.32 × 185.26
  4. Step 4: Simplify right side
    290.18x = 74,162.28
  5. Step 5: Solve for x
    x = 74,162.28/290.18
  6. Step 6: Final answer
    x = 255.58

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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.