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Finding the Fourth Proportional to 339.43, 509.15 and 230.95

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Solution

The fourth proportional to 339.43, 509.15 and 230.95 is: 346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.43 : 509.15 = 230.95 : x
  2. Step 2: Convert to fraction form
    339.43/509.15 = 230.95/x
  3. Step 3: Cross multiply
    339.43x = 509.15 × 230.95
  4. Step 4: Simplify right side
    339.43x = 117,587.04
  5. Step 5: Solve for x
    x = 117,587.04/339.43
  6. Step 6: Final answer
    x = 346.43

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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.