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Finding the Fourth Proportional to 275.76, 415.68 and 260.04

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Solution

The fourth proportional to 275.76, 415.68 and 260.04 is: 391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.76 : 415.68 = 260.04 : x
  2. Step 2: Convert to fraction form
    275.76/415.68 = 260.04/x
  3. Step 3: Cross multiply
    275.76x = 415.68 × 260.04
  4. Step 4: Simplify right side
    275.76x = 108,093.43
  5. Step 5: Solve for x
    x = 108,093.43/275.76
  6. Step 6: Final answer
    x = 391.98

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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.