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Finding the Fourth Proportional to 447.12, 670.93 and 215.87

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Solution

The fourth proportional to 447.12, 670.93 and 215.87 is: 323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 670.93 = 215.87 : x
  2. Step 2: Convert to fraction form
    447.12/670.93 = 215.87/x
  3. Step 3: Cross multiply
    447.12x = 670.93 × 215.87
  4. Step 4: Simplify right side
    447.12x = 144,829.76
  5. Step 5: Solve for x
    x = 144,829.76/447.12
  6. Step 6: Final answer
    x = 323.92

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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.