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Finding the Fourth Proportional to 343.12, 513.72 and 257.36

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Solution

The fourth proportional to 343.12, 513.72 and 257.36 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.12 : 513.72 = 257.36 : x
  2. Step 2: Convert to fraction form
    343.12/513.72 = 257.36/x
  3. Step 3: Cross multiply
    343.12x = 513.72 × 257.36
  4. Step 4: Simplify right side
    343.12x = 132,210.98
  5. Step 5: Solve for x
    x = 132,210.98/343.12
  6. Step 6: Final answer
    x = 385.32

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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.