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Finding the Fourth Proportional to 446.96, 670.00 and 187.14

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Solution

The fourth proportional to 446.96, 670.00 and 187.14 is: 280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.96 : 670.00 = 187.14 : x
  2. Step 2: Convert to fraction form
    446.96/670.00 = 187.14/x
  3. Step 3: Cross multiply
    446.96x = 670.00 × 187.14
  4. Step 4: Simplify right side
    446.96x = 125,380.02
  5. Step 5: Solve for x
    x = 125,380.02/446.96
  6. Step 6: Final answer
    x = 280.52

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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.