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Finding the Fourth Proportional to 272.21, 405.93 and 269.78

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Solution

The fourth proportional to 272.21, 405.93 and 269.78 is: 402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.21 : 405.93 = 269.78 : x
  2. Step 2: Convert to fraction form
    272.21/405.93 = 269.78/x
  3. Step 3: Cross multiply
    272.21x = 405.93 × 269.78
  4. Step 4: Simplify right side
    272.21x = 109,510.45
  5. Step 5: Solve for x
    x = 109,510.45/272.21
  6. Step 6: Final answer
    x = 402.30

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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.