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Finding the Fourth Proportional to 289.90, 397.33 and 286.66

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Solution

The fourth proportional to 289.90, 397.33 and 286.66 is: 392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 397.33 = 286.66 : x
  2. Step 2: Convert to fraction form
    289.90/397.33 = 286.66/x
  3. Step 3: Cross multiply
    289.90x = 397.33 × 286.66
  4. Step 4: Simplify right side
    289.90x = 113,898.62
  5. Step 5: Solve for x
    x = 113,898.62/289.90
  6. Step 6: Final answer
    x = 392.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.