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Finding the Fourth Proportional to 408.98, 610.18 and 357.56

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Solution

The fourth proportional to 408.98, 610.18 and 357.56 is: 533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 610.18 = 357.56 : x
  2. Step 2: Convert to fraction form
    408.98/610.18 = 357.56/x
  3. Step 3: Cross multiply
    408.98x = 610.18 × 357.56
  4. Step 4: Simplify right side
    408.98x = 218,175.96
  5. Step 5: Solve for x
    x = 218,175.96/408.98
  6. Step 6: Final answer
    x = 533.46

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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.