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Finding the Fourth Proportional to 290.86, 401.44 and 228.90

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Solution

The fourth proportional to 290.86, 401.44 and 228.90 is: 315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.86 : 401.44 = 228.90 : x
  2. Step 2: Convert to fraction form
    290.86/401.44 = 228.90/x
  3. Step 3: Cross multiply
    290.86x = 401.44 × 228.90
  4. Step 4: Simplify right side
    290.86x = 91,889.62
  5. Step 5: Solve for x
    x = 91,889.62/290.86
  6. Step 6: Final answer
    x = 315.92

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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.