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Finding the Fourth Proportional to 137.50, 206.43 and 120.40

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Solution

The fourth proportional to 137.50, 206.43 and 120.40 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 206.43 = 120.40 : x
  2. Step 2: Convert to fraction form
    137.50/206.43 = 120.40/x
  3. Step 3: Cross multiply
    137.50x = 206.43 × 120.40
  4. Step 4: Simplify right side
    137.50x = 24,854.17
  5. Step 5: Solve for x
    x = 24,854.17/137.50
  6. Step 6: Final answer
    x = 180.76

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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.