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Finding the Fourth Proportional to 290.56, 400.40 and 235.44

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Solution

The fourth proportional to 290.56, 400.40 and 235.44 is: 324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.56 : 400.40 = 235.44 : x
  2. Step 2: Convert to fraction form
    290.56/400.40 = 235.44/x
  3. Step 3: Cross multiply
    290.56x = 400.40 × 235.44
  4. Step 4: Simplify right side
    290.56x = 94,270.18
  5. Step 5: Solve for x
    x = 94,270.18/290.56
  6. Step 6: Final answer
    x = 324.44

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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.