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Finding the Fourth Proportional to 541.52, 811.59 and 252.32

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Solution

The fourth proportional to 541.52, 811.59 and 252.32 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.52 : 811.59 = 252.32 : x
  2. Step 2: Convert to fraction form
    541.52/811.59 = 252.32/x
  3. Step 3: Cross multiply
    541.52x = 811.59 × 252.32
  4. Step 4: Simplify right side
    541.52x = 204,780.39
  5. Step 5: Solve for x
    x = 204,780.39/541.52
  6. Step 6: Final answer
    x = 378.16

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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.