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Finding the Fourth Proportional to 538.56, 806.61 and 355.68

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Solution

The fourth proportional to 538.56, 806.61 and 355.68 is: 532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 806.61 = 355.68 : x
  2. Step 2: Convert to fraction form
    538.56/806.61 = 355.68/x
  3. Step 3: Cross multiply
    538.56x = 806.61 × 355.68
  4. Step 4: Simplify right side
    538.56x = 286,895.04
  5. Step 5: Solve for x
    x = 286,895.04/538.56
  6. Step 6: Final answer
    x = 532.71

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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.