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Finding the Fourth Proportional to 342.49, 513.52 and 111.28

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Solution

The fourth proportional to 342.49, 513.52 and 111.28 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.49 : 513.52 = 111.28 : x
  2. Step 2: Convert to fraction form
    342.49/513.52 = 111.28/x
  3. Step 3: Cross multiply
    342.49x = 513.52 × 111.28
  4. Step 4: Simplify right side
    342.49x = 57,144.51
  5. Step 5: Solve for x
    x = 57,144.51/342.49
  6. Step 6: Final answer
    x = 166.85

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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.