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Finding the Fourth Proportional to 349.50, 482.25 and 202.11

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Solution

The fourth proportional to 349.50, 482.25 and 202.11 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.50 : 482.25 = 202.11 : x
  2. Step 2: Convert to fraction form
    349.50/482.25 = 202.11/x
  3. Step 3: Cross multiply
    349.50x = 482.25 × 202.11
  4. Step 4: Simplify right side
    349.50x = 97,467.55
  5. Step 5: Solve for x
    x = 97,467.55/349.50
  6. Step 6: Final answer
    x = 278.88

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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.