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Finding the Fourth Proportional to 343.20, 513.72 and 234.93

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Solution

The fourth proportional to 343.20, 513.72 and 234.93 is: 351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.20 : 513.72 = 234.93 : x
  2. Step 2: Convert to fraction form
    343.20/513.72 = 234.93/x
  3. Step 3: Cross multiply
    343.20x = 513.72 × 234.93
  4. Step 4: Simplify right side
    343.20x = 120,688.24
  5. Step 5: Solve for x
    x = 120,688.24/343.20
  6. Step 6: Final answer
    x = 351.66

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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.