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Finding the Fourth Proportional to 447, 670.48 and 186.93

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Solution

The fourth proportional to 447, 670.48 and 186.93 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    447 : 670.48 = 186.93 : x
  2. Step 2: Convert to fraction form
    447/670.48 = 186.93/x
  3. Step 3: Cross multiply
    447x = 670.48 × 186.93
  4. Step 4: Simplify right side
    447x = 125,333.06
  5. Step 5: Solve for x
    x = 125,333.06/447
  6. Step 6: Final answer
    x = 280.39

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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.