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Finding the Fourth Proportional to 272.52, 406.84 and 253.56

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Solution

The fourth proportional to 272.52, 406.84 and 253.56 is: 378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.52 : 406.84 = 253.56 : x
  2. Step 2: Convert to fraction form
    272.52/406.84 = 253.56/x
  3. Step 3: Cross multiply
    272.52x = 406.84 × 253.56
  4. Step 4: Simplify right side
    272.52x = 103,158.35
  5. Step 5: Solve for x
    x = 103,158.35/272.52
  6. Step 6: Final answer
    x = 378.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.