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Finding the Fourth Proportional to 290.60, 401.16 and 180.08

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Solution

The fourth proportional to 290.60, 401.16 and 180.08 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 401.16 = 180.08 : x
  2. Step 2: Convert to fraction form
    290.60/401.16 = 180.08/x
  3. Step 3: Cross multiply
    290.60x = 401.16 × 180.08
  4. Step 4: Simplify right side
    290.60x = 72,240.89
  5. Step 5: Solve for x
    x = 72,240.89/290.60
  6. Step 6: Final answer
    x = 248.59

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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.