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Finding the Fourth Proportional to 768.65, 1,152.89 and 213.40

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Solution

The fourth proportional to 768.65, 1,152.89 and 213.40 is: 320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.65 : 1,152.89 = 213.40 : x
  2. Step 2: Convert to fraction form
    768.65/1,152.89 = 213.40/x
  3. Step 3: Cross multiply
    768.65x = 1,152.89 × 213.40
  4. Step 4: Simplify right side
    768.65x = 246,025.66
  5. Step 5: Solve for x
    x = 246,025.66/768.65
  6. Step 6: Final answer
    x = 320.08

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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.