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Finding the Fourth Proportional to 275.75, 415.62 and 260.90

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Solution

The fourth proportional to 275.75, 415.62 and 260.90 is: 393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.75 : 415.62 = 260.90 : x
  2. Step 2: Convert to fraction form
    275.75/415.62 = 260.90/x
  3. Step 3: Cross multiply
    275.75x = 415.62 × 260.90
  4. Step 4: Simplify right side
    275.75x = 108,435.26
  5. Step 5: Solve for x
    x = 108,435.26/275.75
  6. Step 6: Final answer
    x = 393.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.