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Finding the Fourth Proportional to 272.14, 406.66 and 265.99

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Solution

The fourth proportional to 272.14, 406.66 and 265.99 is: 397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 406.66 = 265.99 : x
  2. Step 2: Convert to fraction form
    272.14/406.66 = 265.99/x
  3. Step 3: Cross multiply
    272.14x = 406.66 × 265.99
  4. Step 4: Simplify right side
    272.14x = 108,166.81
  5. Step 5: Solve for x
    x = 108,166.81/272.14
  6. Step 6: Final answer
    x = 397.47

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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.