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Finding the Fourth Proportional to 408.98, 564.01 and 307.83

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Solution

The fourth proportional to 408.98, 564.01 and 307.83 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 564.01 = 307.83 : x
  2. Step 2: Convert to fraction form
    408.98/564.01 = 307.83/x
  3. Step 3: Cross multiply
    408.98x = 564.01 × 307.83
  4. Step 4: Simplify right side
    408.98x = 173,618.43
  5. Step 5: Solve for x
    x = 173,618.43/408.98
  6. Step 6: Final answer
    x = 424.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.