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Finding the Fourth Proportional to 764.16, 1,146.24 and 187.04

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Solution

The fourth proportional to 764.16, 1,146.24 and 187.04 is: 280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.16 : 1,146.24 = 187.04 : x
  2. Step 2: Convert to fraction form
    764.16/1,146.24 = 187.04/x
  3. Step 3: Cross multiply
    764.16x = 1,146.24 × 187.04
  4. Step 4: Simplify right side
    764.16x = 214,387.00
  5. Step 5: Solve for x
    x = 214,387.00/764.16
  6. Step 6: Final answer
    x = 280.55

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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.