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Finding the Fourth Proportional to 512.06, 767.99 and 146.84

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Solution

The fourth proportional to 512.06, 767.99 and 146.84 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 767.99 = 146.84 : x
  2. Step 2: Convert to fraction form
    512.06/767.99 = 146.84/x
  3. Step 3: Cross multiply
    512.06x = 767.99 × 146.84
  4. Step 4: Simplify right side
    512.06x = 112,771.65
  5. Step 5: Solve for x
    x = 112,771.65/512.06
  6. Step 6: Final answer
    x = 220.23

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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.