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Finding the Fourth Proportional to 443.35, 665.00 and 212.40

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Solution

The fourth proportional to 443.35, 665.00 and 212.40 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.35 : 665.00 = 212.40 : x
  2. Step 2: Convert to fraction form
    443.35/665.00 = 212.40/x
  3. Step 3: Cross multiply
    443.35x = 665.00 × 212.40
  4. Step 4: Simplify right side
    443.35x = 141,246.53
  5. Step 5: Solve for x
    x = 141,246.53/443.35
  6. Step 6: Final answer
    x = 318.59

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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.