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Finding the Fourth Proportional to 349.54, 482.42 and 202.22

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Solution

The fourth proportional to 349.54, 482.42 and 202.22 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.54 : 482.42 = 202.22 : x
  2. Step 2: Convert to fraction form
    349.54/482.42 = 202.22/x
  3. Step 3: Cross multiply
    349.54x = 482.42 × 202.22
  4. Step 4: Simplify right side
    349.54x = 97,554.97
  5. Step 5: Solve for x
    x = 97,554.97/349.54
  6. Step 6: Final answer
    x = 279.10

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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.