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Finding the Fourth Proportional to 342.51, 513.75 and 137.17

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Solution

The fourth proportional to 342.51, 513.75 and 137.17 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 513.75 = 137.17 : x
  2. Step 2: Convert to fraction form
    342.51/513.75 = 137.17/x
  3. Step 3: Cross multiply
    342.51x = 513.75 × 137.17
  4. Step 4: Simplify right side
    342.51x = 70,471.09
  5. Step 5: Solve for x
    x = 70,471.09/342.51
  6. Step 6: Final answer
    x = 205.75

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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.