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Finding the Fourth Proportional to 290.87, 401.25 and 270.02

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Solution

The fourth proportional to 290.87, 401.25 and 270.02 is: 372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.87 : 401.25 = 270.02 : x
  2. Step 2: Convert to fraction form
    290.87/401.25 = 270.02/x
  3. Step 3: Cross multiply
    290.87x = 401.25 × 270.02
  4. Step 4: Simplify right side
    290.87x = 108,346.53
  5. Step 5: Solve for x
    x = 108,346.53/290.87
  6. Step 6: Final answer
    x = 372.50

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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.