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Finding the Fourth Proportional to 234.34, 349.85 and 179.20

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Solution

The fourth proportional to 234.34, 349.85 and 179.20 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 349.85 = 179.20 : x
  2. Step 2: Convert to fraction form
    234.34/349.85 = 179.20/x
  3. Step 3: Cross multiply
    234.34x = 349.85 × 179.20
  4. Step 4: Simplify right side
    234.34x = 62,692.22
  5. Step 5: Solve for x
    x = 62,692.22/234.34
  6. Step 6: Final answer
    x = 267.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.