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Finding the Fourth Proportional to 354.14, 531.40 and 137.78

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Solution

The fourth proportional to 354.14, 531.40 and 137.78 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.14 : 531.40 = 137.78 : x
  2. Step 2: Convert to fraction form
    354.14/531.40 = 137.78/x
  3. Step 3: Cross multiply
    354.14x = 531.40 × 137.78
  4. Step 4: Simplify right side
    354.14x = 73,216.29
  5. Step 5: Solve for x
    x = 73,216.29/354.14
  6. Step 6: Final answer
    x = 206.74

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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.