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Finding the Fourth Proportional to 272.24, 405.36 and 270.32

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Solution

The fourth proportional to 272.24, 405.36 and 270.32 is: 402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 405.36 = 270.32 : x
  2. Step 2: Convert to fraction form
    272.24/405.36 = 270.32/x
  3. Step 3: Cross multiply
    272.24x = 405.36 × 270.32
  4. Step 4: Simplify right side
    272.24x = 109,576.92
  5. Step 5: Solve for x
    x = 109,576.92/272.24
  6. Step 6: Final answer
    x = 402.50

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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.