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Finding the Fourth Proportional to 290.12, 400.56 and 228.20

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Solution

The fourth proportional to 290.12, 400.56 and 228.20 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 400.56 = 228.20 : x
  2. Step 2: Convert to fraction form
    290.12/400.56 = 228.20/x
  3. Step 3: Cross multiply
    290.12x = 400.56 × 228.20
  4. Step 4: Simplify right side
    290.12x = 91,407.79
  5. Step 5: Solve for x
    x = 91,407.79/290.12
  6. Step 6: Final answer
    x = 315.07

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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.