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Finding the Fourth Proportional to 415.98, 574.27 and 322.51

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Solution

The fourth proportional to 415.98, 574.27 and 322.51 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.98 : 574.27 = 322.51 : x
  2. Step 2: Convert to fraction form
    415.98/574.27 = 322.51/x
  3. Step 3: Cross multiply
    415.98x = 574.27 × 322.51
  4. Step 4: Simplify right side
    415.98x = 185,207.73
  5. Step 5: Solve for x
    x = 185,207.73/415.98
  6. Step 6: Final answer
    x = 445.24

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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.