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Finding the Fourth Proportional to 354.27, 531.40 and 137.89

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Solution

The fourth proportional to 354.27, 531.40 and 137.89 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.27 : 531.40 = 137.89 : x
  2. Step 2: Convert to fraction form
    354.27/531.40 = 137.89/x
  3. Step 3: Cross multiply
    354.27x = 531.40 × 137.89
  4. Step 4: Simplify right side
    354.27x = 73,274.75
  5. Step 5: Solve for x
    x = 73,274.75/354.27
  6. Step 6: Final answer
    x = 206.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.