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Finding the Fourth Proportional to 364.05, 502.20 and 322.65

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Solution

The fourth proportional to 364.05, 502.20 and 322.65 is: 445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 502.20 = 322.65 : x
  2. Step 2: Convert to fraction form
    364.05/502.20 = 322.65/x
  3. Step 3: Cross multiply
    364.05x = 502.20 × 322.65
  4. Step 4: Simplify right side
    364.05x = 162,034.83
  5. Step 5: Solve for x
    x = 162,034.83/364.05
  6. Step 6: Final answer
    x = 445.09

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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.