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Finding the Fourth Proportional to 289.54, 402.34 and 286.58

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Solution

The fourth proportional to 289.54, 402.34 and 286.58 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.54 : 402.34 = 286.58 : x
  2. Step 2: Convert to fraction form
    289.54/402.34 = 286.58/x
  3. Step 3: Cross multiply
    289.54x = 402.34 × 286.58
  4. Step 4: Simplify right side
    289.54x = 115,301.16
  5. Step 5: Solve for x
    x = 115,301.16/289.54
  6. Step 6: Final answer
    x = 398.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.