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Finding the Fourth Proportional to 271.89, 406.08 and 260.15

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Solution

The fourth proportional to 271.89, 406.08 and 260.15 is: 388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.89 : 406.08 = 260.15 : x
  2. Step 2: Convert to fraction form
    271.89/406.08 = 260.15/x
  3. Step 3: Cross multiply
    271.89x = 406.08 × 260.15
  4. Step 4: Simplify right side
    271.89x = 105,639.68
  5. Step 5: Solve for x
    x = 105,639.68/271.89
  6. Step 6: Final answer
    x = 388.54

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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.