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Finding the Fourth Proportional to 409.50, 611.39 and 348.66

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Solution

The fourth proportional to 409.50, 611.39 and 348.66 is: 520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 611.39 = 348.66 : x
  2. Step 2: Convert to fraction form
    409.50/611.39 = 348.66/x
  3. Step 3: Cross multiply
    409.50x = 611.39 × 348.66
  4. Step 4: Simplify right side
    409.50x = 213,165.49
  5. Step 5: Solve for x
    x = 213,165.49/409.50
  6. Step 6: Final answer
    x = 520.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.