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Finding the Fourth Proportional to 343.01, 513.60 and 180.37

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Solution

The fourth proportional to 343.01, 513.60 and 180.37 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.01 : 513.60 = 180.37 : x
  2. Step 2: Convert to fraction form
    343.01/513.60 = 180.37/x
  3. Step 3: Cross multiply
    343.01x = 513.60 × 180.37
  4. Step 4: Simplify right side
    343.01x = 92,638.03
  5. Step 5: Solve for x
    x = 92,638.03/343.01
  6. Step 6: Final answer
    x = 270.07

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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.