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Finding the Fourth Proportional to 364.42, 502.95 and 323.11

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Solution

The fourth proportional to 364.42, 502.95 and 323.11 is: 445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 502.95 = 323.11 : x
  2. Step 2: Convert to fraction form
    364.42/502.95 = 323.11/x
  3. Step 3: Cross multiply
    364.42x = 502.95 × 323.11
  4. Step 4: Simplify right side
    364.42x = 162,508.17
  5. Step 5: Solve for x
    x = 162,508.17/364.42
  6. Step 6: Final answer
    x = 445.94

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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.