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Finding the Fourth Proportional to 266.71, 397.73 and 264.28

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Solution

The fourth proportional to 266.71, 397.73 and 264.28 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.71 : 397.73 = 264.28 : x
  2. Step 2: Convert to fraction form
    266.71/397.73 = 264.28/x
  3. Step 3: Cross multiply
    266.71x = 397.73 × 264.28
  4. Step 4: Simplify right side
    266.71x = 105,112.08
  5. Step 5: Solve for x
    x = 105,112.08/266.71
  6. Step 6: Final answer
    x = 394.11

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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.