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Finding the Fourth Proportional to 342.00, 513.34 and 230.80

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Solution

The fourth proportional to 342.00, 513.34 and 230.80 is: 346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.00 : 513.34 = 230.80 : x
  2. Step 2: Convert to fraction form
    342.00/513.34 = 230.80/x
  3. Step 3: Cross multiply
    342.00x = 513.34 × 230.80
  4. Step 4: Simplify right side
    342.00x = 118,480.76
  5. Step 5: Solve for x
    x = 118,480.76/342.00
  6. Step 6: Final answer
    x = 346.43

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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.