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Finding the Fourth Proportional to 339.01, 509.33 and 217.51

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Solution

The fourth proportional to 339.01, 509.33 and 217.51 is: 326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.01 : 509.33 = 217.51 : x
  2. Step 2: Convert to fraction form
    339.01/509.33 = 217.51/x
  3. Step 3: Cross multiply
    339.01x = 509.33 × 217.51
  4. Step 4: Simplify right side
    339.01x = 110,784.37
  5. Step 5: Solve for x
    x = 110,784.37/339.01
  6. Step 6: Final answer
    x = 326.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.