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Finding the Fourth Proportional to 272.04, 375.42 and 206.42

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Solution

The fourth proportional to 272.04, 375.42 and 206.42 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.04 : 375.42 = 206.42 : x
  2. Step 2: Convert to fraction form
    272.04/375.42 = 206.42/x
  3. Step 3: Cross multiply
    272.04x = 375.42 × 206.42
  4. Step 4: Simplify right side
    272.04x = 77,494.20
  5. Step 5: Solve for x
    x = 77,494.20/272.04
  6. Step 6: Final answer
    x = 284.86

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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.