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Finding the Fourth Proportional to 342.28, 513.39 and 114.28

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Solution

The fourth proportional to 342.28, 513.39 and 114.28 is: 171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 513.39 = 114.28 : x
  2. Step 2: Convert to fraction form
    342.28/513.39 = 114.28/x
  3. Step 3: Cross multiply
    342.28x = 513.39 × 114.28
  4. Step 4: Simplify right side
    342.28x = 58,670.21
  5. Step 5: Solve for x
    x = 58,670.21/342.28
  6. Step 6: Final answer
    x = 171.41

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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.