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Finding the Fourth Proportional to 538.31, 806.75 and 260.78

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Solution

The fourth proportional to 538.31, 806.75 and 260.78 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 806.75 = 260.78 : x
  2. Step 2: Convert to fraction form
    538.31/806.75 = 260.78/x
  3. Step 3: Cross multiply
    538.31x = 806.75 × 260.78
  4. Step 4: Simplify right side
    538.31x = 210,378.93
  5. Step 5: Solve for x
    x = 210,378.93/538.31
  6. Step 6: Final answer
    x = 390.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.