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Finding the Fourth Proportional to 271.97, 373.01 and 260.80

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Solution

The fourth proportional to 271.97, 373.01 and 260.80 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.97 : 373.01 = 260.80 : x
  2. Step 2: Convert to fraction form
    271.97/373.01 = 260.80/x
  3. Step 3: Cross multiply
    271.97x = 373.01 × 260.80
  4. Step 4: Simplify right side
    271.97x = 97,278.77
  5. Step 5: Solve for x
    x = 97,278.77/271.97
  6. Step 6: Final answer
    x = 357.68

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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.