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Finding the Fourth Proportional to 339.16, 511.75 and 326.50

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Solution

The fourth proportional to 339.16, 511.75 and 326.50 is: 492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.16 : 511.75 = 326.50 : x
  2. Step 2: Convert to fraction form
    339.16/511.75 = 326.50/x
  3. Step 3: Cross multiply
    339.16x = 511.75 × 326.50
  4. Step 4: Simplify right side
    339.16x = 167,086.38
  5. Step 5: Solve for x
    x = 167,086.38/339.16
  6. Step 6: Final answer
    x = 492.65

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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.