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Finding the Fourth Proportional to 271.15, 371.75 and 266.22

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Solution

The fourth proportional to 271.15, 371.75 and 266.22 is: 364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.15 : 371.75 = 266.22 : x
  2. Step 2: Convert to fraction form
    271.15/371.75 = 266.22/x
  3. Step 3: Cross multiply
    271.15x = 371.75 × 266.22
  4. Step 4: Simplify right side
    271.15x = 98,967.71
  5. Step 5: Solve for x
    x = 98,967.71/271.15
  6. Step 6: Final answer
    x = 364.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.