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Finding the Fourth Proportional to 343.50, 514.86 and 138

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Solution

The fourth proportional to 343.50, 514.86 and 138 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 514.86 = 138 : x
  2. Step 2: Convert to fraction form
    343.50/514.86 = 138/x
  3. Step 3: Cross multiply
    343.50x = 514.86 × 138
  4. Step 4: Simplify right side
    343.50x = 71,050.68
  5. Step 5: Solve for x
    x = 71,050.68/343.50
  6. Step 6: Final answer
    x = 206.84

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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.