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Finding the Fourth Proportional to 272.94, 411.64 and 268.08

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Solution

The fourth proportional to 272.94, 411.64 and 268.08 is: 404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.94 : 411.64 = 268.08 : x
  2. Step 2: Convert to fraction form
    272.94/411.64 = 268.08/x
  3. Step 3: Cross multiply
    272.94x = 411.64 × 268.08
  4. Step 4: Simplify right side
    272.94x = 110,352.79
  5. Step 5: Solve for x
    x = 110,352.79/272.94
  6. Step 6: Final answer
    x = 404.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.