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Finding the Fourth Proportional to 271.40, 376.07 and 268.07

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Solution

The fourth proportional to 271.40, 376.07 and 268.07 is: 371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.40 : 376.07 = 268.07 : x
  2. Step 2: Convert to fraction form
    271.40/376.07 = 268.07/x
  3. Step 3: Cross multiply
    271.40x = 376.07 × 268.07
  4. Step 4: Simplify right side
    271.40x = 100,809.86
  5. Step 5: Solve for x
    x = 100,809.86/271.40
  6. Step 6: Final answer
    x = 371.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.