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Finding the Fourth Proportional to 349.78, 482.87 and 202.39

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Solution

The fourth proportional to 349.78, 482.87 and 202.39 is: 279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.78 : 482.87 = 202.39 : x
  2. Step 2: Convert to fraction form
    349.78/482.87 = 202.39/x
  3. Step 3: Cross multiply
    349.78x = 482.87 × 202.39
  4. Step 4: Simplify right side
    349.78x = 97,727.05
  5. Step 5: Solve for x
    x = 97,727.05/349.78
  6. Step 6: Final answer
    x = 279.40

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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.