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Finding the Fourth Proportional to 443.83, 666.21 and 212.91

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Solution

The fourth proportional to 443.83, 666.21 and 212.91 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.83 : 666.21 = 212.91 : x
  2. Step 2: Convert to fraction form
    443.83/666.21 = 212.91/x
  3. Step 3: Cross multiply
    443.83x = 666.21 × 212.91
  4. Step 4: Simplify right side
    443.83x = 141,842.77
  5. Step 5: Solve for x
    x = 141,842.77/443.83
  6. Step 6: Final answer
    x = 319.59

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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.