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Finding the Fourth Proportional to 768.13, 1,152.19 and 212.84

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Solution

The fourth proportional to 768.13, 1,152.19 and 212.84 is: 319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.13 : 1,152.19 = 212.84 : x
  2. Step 2: Convert to fraction form
    768.13/1,152.19 = 212.84/x
  3. Step 3: Cross multiply
    768.13x = 1,152.19 × 212.84
  4. Step 4: Simplify right side
    768.13x = 245,233.01
  5. Step 5: Solve for x
    x = 245,233.01/768.13
  6. Step 6: Final answer
    x = 319.26

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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.