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Finding the Fourth Proportional to 272.29, 406.30 and 266.08

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Solution

The fourth proportional to 272.29, 406.30 and 266.08 is: 397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.29 : 406.30 = 266.08 : x
  2. Step 2: Convert to fraction form
    272.29/406.30 = 266.08/x
  3. Step 3: Cross multiply
    272.29x = 406.30 × 266.08
  4. Step 4: Simplify right side
    272.29x = 108,106.27
  5. Step 5: Solve for x
    x = 108,106.27/272.29
  6. Step 6: Final answer
    x = 397.03

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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.