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Finding the Fourth Proportional to 365.88, 502.22 and 325.66

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Solution

The fourth proportional to 365.88, 502.22 and 325.66 is: 447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.88 : 502.22 = 325.66 : x
  2. Step 2: Convert to fraction form
    365.88/502.22 = 325.66/x
  3. Step 3: Cross multiply
    365.88x = 502.22 × 325.66
  4. Step 4: Simplify right side
    365.88x = 163,552.97
  5. Step 5: Solve for x
    x = 163,552.97/365.88
  6. Step 6: Final answer
    x = 447.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.