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Finding the Fourth Proportional to 342.75, 513.54 and 160.05

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Solution

The fourth proportional to 342.75, 513.54 and 160.05 is: 239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 513.54 = 160.05 : x
  2. Step 2: Convert to fraction form
    342.75/513.54 = 160.05/x
  3. Step 3: Cross multiply
    342.75x = 513.54 × 160.05
  4. Step 4: Simplify right side
    342.75x = 82,192.08
  5. Step 5: Solve for x
    x = 82,192.08/342.75
  6. Step 6: Final answer
    x = 239.80

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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.