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Finding the Fourth Proportional to 339.90, 468.50 and 269.84

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Solution

The fourth proportional to 339.90, 468.50 and 269.84 is: 371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.90 : 468.50 = 269.84 : x
  2. Step 2: Convert to fraction form
    339.90/468.50 = 269.84/x
  3. Step 3: Cross multiply
    339.90x = 468.50 × 269.84
  4. Step 4: Simplify right side
    339.90x = 126,420.04
  5. Step 5: Solve for x
    x = 126,420.04/339.90
  6. Step 6: Final answer
    x = 371.93

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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.