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Finding the Fourth Proportional to 407.98, 608.98 and 350.57

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Solution

The fourth proportional to 407.98, 608.98 and 350.57 is: 523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.98 : 608.98 = 350.57 : x
  2. Step 2: Convert to fraction form
    407.98/608.98 = 350.57/x
  3. Step 3: Cross multiply
    407.98x = 608.98 × 350.57
  4. Step 4: Simplify right side
    407.98x = 213,487.07
  5. Step 5: Solve for x
    x = 213,487.07/407.98
  6. Step 6: Final answer
    x = 523.28

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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.