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Finding the Fourth Proportional to 512.16, 767.91 and 182.91

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Solution

The fourth proportional to 512.16, 767.91 and 182.91 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 767.91 = 182.91 : x
  2. Step 2: Convert to fraction form
    512.16/767.91 = 182.91/x
  3. Step 3: Cross multiply
    512.16x = 767.91 × 182.91
  4. Step 4: Simplify right side
    512.16x = 140,458.42
  5. Step 5: Solve for x
    x = 140,458.42/512.16
  6. Step 6: Final answer
    x = 274.25

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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.