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Finding the Fourth Proportional to 342.36, 513.49 and 188.59

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Solution

The fourth proportional to 342.36, 513.49 and 188.59 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.36 : 513.49 = 188.59 : x
  2. Step 2: Convert to fraction form
    342.36/513.49 = 188.59/x
  3. Step 3: Cross multiply
    342.36x = 513.49 × 188.59
  4. Step 4: Simplify right side
    342.36x = 96,835.57
  5. Step 5: Solve for x
    x = 96,835.57/342.36
  6. Step 6: Final answer
    x = 282.85

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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.