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Finding the Fourth Proportional to 401.28, 604.04 and 286.52

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Solution

The fourth proportional to 401.28, 604.04 and 286.52 is: 431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.28 : 604.04 = 286.52 : x
  2. Step 2: Convert to fraction form
    401.28/604.04 = 286.52/x
  3. Step 3: Cross multiply
    401.28x = 604.04 × 286.52
  4. Step 4: Simplify right side
    401.28x = 173,066.52
  5. Step 5: Solve for x
    x = 173,066.52/401.28
  6. Step 6: Final answer
    x = 431.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.