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Finding the Fourth Proportional to 364.38, 501.75 and 326.45

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Solution

The fourth proportional to 364.38, 501.75 and 326.45 is: 449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 501.75 = 326.45 : x
  2. Step 2: Convert to fraction form
    364.38/501.75 = 326.45/x
  3. Step 3: Cross multiply
    364.38x = 501.75 × 326.45
  4. Step 4: Simplify right side
    364.38x = 163,794.66
  5. Step 5: Solve for x
    x = 163,794.66/364.38
  6. Step 6: Final answer
    x = 449.52

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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.