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Finding the Fourth Proportional to 768.04, 1,152 and 248.04

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Solution

The fourth proportional to 768.04, 1,152 and 248.04 is: 372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.04 : 1,152 = 248.04 : x
  2. Step 2: Convert to fraction form
    768.04/1,152 = 248.04/x
  3. Step 3: Cross multiply
    768.04x = 1,152 × 248.04
  4. Step 4: Simplify right side
    768.04x = 285,742.08
  5. Step 5: Solve for x
    x = 285,742.08/768.04
  6. Step 6: Final answer
    x = 372.04

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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.