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Finding the Fourth Proportional to 408.98, 610.90 and 340.57

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Solution

The fourth proportional to 408.98, 610.90 and 340.57 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 610.90 = 340.57 : x
  2. Step 2: Convert to fraction form
    408.98/610.90 = 340.57/x
  3. Step 3: Cross multiply
    408.98x = 610.90 × 340.57
  4. Step 4: Simplify right side
    408.98x = 208,051.16
  5. Step 5: Solve for x
    x = 208,051.16/408.98
  6. Step 6: Final answer
    x = 508.71

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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.