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Finding the Fourth Proportional to 272.48, 376 and 206.16

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Solution

The fourth proportional to 272.48, 376 and 206.16 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.48 : 376 = 206.16 : x
  2. Step 2: Convert to fraction form
    272.48/376 = 206.16/x
  3. Step 3: Cross multiply
    272.48x = 376 × 206.16
  4. Step 4: Simplify right side
    272.48x = 77,516.16
  5. Step 5: Solve for x
    x = 77,516.16/272.48
  6. Step 6: Final answer
    x = 284.48

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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.