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Finding the Fourth Proportional to 290.94, 401.50 and 180.48

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Solution

The fourth proportional to 290.94, 401.50 and 180.48 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 401.50 = 180.48 : x
  2. Step 2: Convert to fraction form
    290.94/401.50 = 180.48/x
  3. Step 3: Cross multiply
    290.94x = 401.50 × 180.48
  4. Step 4: Simplify right side
    290.94x = 72,462.72
  5. Step 5: Solve for x
    x = 72,462.72/290.94
  6. Step 6: Final answer
    x = 249.06

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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.