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Finding the Fourth Proportional to 345.27, 520.44 and 340.41

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Solution

The fourth proportional to 345.27, 520.44 and 340.41 is: 513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.27 : 520.44 = 340.41 : x
  2. Step 2: Convert to fraction form
    345.27/520.44 = 340.41/x
  3. Step 3: Cross multiply
    345.27x = 520.44 × 340.41
  4. Step 4: Simplify right side
    345.27x = 177,162.98
  5. Step 5: Solve for x
    x = 177,162.98/345.27
  6. Step 6: Final answer
    x = 513.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.