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Finding the Fourth Proportional to 443.75, 664.94 and 356.67

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Solution

The fourth proportional to 443.75, 664.94 and 356.67 is: 534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.75 : 664.94 = 356.67 : x
  2. Step 2: Convert to fraction form
    443.75/664.94 = 356.67/x
  3. Step 3: Cross multiply
    443.75x = 664.94 × 356.67
  4. Step 4: Simplify right side
    443.75x = 237,165.04
  5. Step 5: Solve for x
    x = 237,165.04/443.75
  6. Step 6: Final answer
    x = 534.46

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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.