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Finding the Fourth Proportional to 339.71, 468.26 and 311.46

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Solution

The fourth proportional to 339.71, 468.26 and 311.46 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.71 : 468.26 = 311.46 : x
  2. Step 2: Convert to fraction form
    339.71/468.26 = 311.46/x
  3. Step 3: Cross multiply
    339.71x = 468.26 × 311.46
  4. Step 4: Simplify right side
    339.71x = 145,842.11
  5. Step 5: Solve for x
    x = 145,842.11/339.71
  6. Step 6: Final answer
    x = 429.32

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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.