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Finding the Fourth Proportional to 339.55, 509.30 and 166.18

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Solution

The fourth proportional to 339.55, 509.30 and 166.18 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.55 : 509.30 = 166.18 : x
  2. Step 2: Convert to fraction form
    339.55/509.30 = 166.18/x
  3. Step 3: Cross multiply
    339.55x = 509.30 × 166.18
  4. Step 4: Simplify right side
    339.55x = 84,635.47
  5. Step 5: Solve for x
    x = 84,635.47/339.55
  6. Step 6: Final answer
    x = 249.26

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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.