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Finding the Fourth Proportional to 272.14, 407.46 and 233.44

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Solution

The fourth proportional to 272.14, 407.46 and 233.44 is: 349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 407.46 = 233.44 : x
  2. Step 2: Convert to fraction form
    272.14/407.46 = 233.44/x
  3. Step 3: Cross multiply
    272.14x = 407.46 × 233.44
  4. Step 4: Simplify right side
    272.14x = 95,117.46
  5. Step 5: Solve for x
    x = 95,117.46/272.14
  6. Step 6: Final answer
    x = 349.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.