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Finding the Fourth Proportional to 279.21, 385.05 and 174.31

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Solution

The fourth proportional to 279.21, 385.05 and 174.31 is: 240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.21 : 385.05 = 174.31 : x
  2. Step 2: Convert to fraction form
    279.21/385.05 = 174.31/x
  3. Step 3: Cross multiply
    279.21x = 385.05 × 174.31
  4. Step 4: Simplify right side
    279.21x = 67,117.24
  5. Step 5: Solve for x
    x = 67,117.24/279.21
  6. Step 6: Final answer
    x = 240.38

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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.