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Finding the Fourth Proportional to 339.66, 512.51 and 327.02

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Solution

The fourth proportional to 339.66, 512.51 and 327.02 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 512.51 = 327.02 : x
  2. Step 2: Convert to fraction form
    339.66/512.51 = 327.02/x
  3. Step 3: Cross multiply
    339.66x = 512.51 × 327.02
  4. Step 4: Simplify right side
    339.66x = 167,596.82
  5. Step 5: Solve for x
    x = 167,596.82/339.66
  6. Step 6: Final answer
    x = 493.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.