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Finding the Fourth Proportional to 272.97, 407.19 and 263.49

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Solution

The fourth proportional to 272.97, 407.19 and 263.49 is: 393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 407.19 = 263.49 : x
  2. Step 2: Convert to fraction form
    272.97/407.19 = 263.49/x
  3. Step 3: Cross multiply
    272.97x = 407.19 × 263.49
  4. Step 4: Simplify right side
    272.97x = 107,289.95
  5. Step 5: Solve for x
    x = 107,289.95/272.97
  6. Step 6: Final answer
    x = 393.05

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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.