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Finding the Fourth Proportional to 339.30, 468.27 and 306.90

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Solution

The fourth proportional to 339.30, 468.27 and 306.90 is: 423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.30 : 468.27 = 306.90 : x
  2. Step 2: Convert to fraction form
    339.30/468.27 = 306.90/x
  3. Step 3: Cross multiply
    339.30x = 468.27 × 306.90
  4. Step 4: Simplify right side
    339.30x = 143,712.06
  5. Step 5: Solve for x
    x = 143,712.06/339.30
  6. Step 6: Final answer
    x = 423.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.