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Finding the Fourth Proportional to 234.02, 349.52 and 220.05

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Solution

The fourth proportional to 234.02, 349.52 and 220.05 is: 328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 349.52 = 220.05 : x
  2. Step 2: Convert to fraction form
    234.02/349.52 = 220.05/x
  3. Step 3: Cross multiply
    234.02x = 349.52 × 220.05
  4. Step 4: Simplify right side
    234.02x = 76,911.71
  5. Step 5: Solve for x
    x = 76,911.71/234.02
  6. Step 6: Final answer
    x = 328.65

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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.