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Finding the Fourth Proportional to 408.52, 611.13 and 340.15

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Solution

The fourth proportional to 408.52, 611.13 and 340.15 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 611.13 = 340.15 : x
  2. Step 2: Convert to fraction form
    408.52/611.13 = 340.15/x
  3. Step 3: Cross multiply
    408.52x = 611.13 × 340.15
  4. Step 4: Simplify right side
    408.52x = 207,875.87
  5. Step 5: Solve for x
    x = 207,875.87/408.52
  6. Step 6: Final answer
    x = 508.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.