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Finding the Fourth Proportional to 290.60, 400.97 and 174.16

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Solution

The fourth proportional to 290.60, 400.97 and 174.16 is: 240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 400.97 = 174.16 : x
  2. Step 2: Convert to fraction form
    290.60/400.97 = 174.16/x
  3. Step 3: Cross multiply
    290.60x = 400.97 × 174.16
  4. Step 4: Simplify right side
    290.60x = 69,832.37
  5. Step 5: Solve for x
    x = 69,832.37/290.60
  6. Step 6: Final answer
    x = 240.31

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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.