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Finding the Fourth Proportional to 290.00, 400.16 and 188.87

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Solution

The fourth proportional to 290.00, 400.16 and 188.87 is: 260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.00 : 400.16 = 188.87 : x
  2. Step 2: Convert to fraction form
    290.00/400.16 = 188.87/x
  3. Step 3: Cross multiply
    290.00x = 400.16 × 188.87
  4. Step 4: Simplify right side
    290.00x = 75,575.27
  5. Step 5: Solve for x
    x = 75,575.27/290.00
  6. Step 6: Final answer
    x = 260.61

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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.