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Finding the Fourth Proportional to 339.93, 509.18 and 166.07

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Solution

The fourth proportional to 339.93, 509.18 and 166.07 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.93 : 509.18 = 166.07 : x
  2. Step 2: Convert to fraction form
    339.93/509.18 = 166.07/x
  3. Step 3: Cross multiply
    339.93x = 509.18 × 166.07
  4. Step 4: Simplify right side
    339.93x = 84,556.98
  5. Step 5: Solve for x
    x = 84,556.98/339.93
  6. Step 6: Final answer
    x = 248.75

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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.