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Finding the Fourth Proportional to 272.21, 406.54 and 235.76

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Solution

The fourth proportional to 272.21, 406.54 and 235.76 is: 352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.21 : 406.54 = 235.76 : x
  2. Step 2: Convert to fraction form
    272.21/406.54 = 235.76/x
  3. Step 3: Cross multiply
    272.21x = 406.54 × 235.76
  4. Step 4: Simplify right side
    272.21x = 95,844.13
  5. Step 5: Solve for x
    x = 95,844.13/272.21
  6. Step 6: Final answer
    x = 352.10

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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.