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Finding the Fourth Proportional to 271.86, 405.93 and 266.40

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Solution

The fourth proportional to 271.86, 405.93 and 266.40 is: 397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.86 : 405.93 = 266.40 : x
  2. Step 2: Convert to fraction form
    271.86/405.93 = 266.40/x
  3. Step 3: Cross multiply
    271.86x = 405.93 × 266.40
  4. Step 4: Simplify right side
    271.86x = 108,139.75
  5. Step 5: Solve for x
    x = 108,139.75/271.86
  6. Step 6: Final answer
    x = 397.78

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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.