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Finding the Fourth Proportional to 443.30, 664.14 and 378.50

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Solution

The fourth proportional to 443.30, 664.14 and 378.50 is: 567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.30 : 664.14 = 378.50 : x
  2. Step 2: Convert to fraction form
    443.30/664.14 = 378.50/x
  3. Step 3: Cross multiply
    443.30x = 664.14 × 378.50
  4. Step 4: Simplify right side
    443.30x = 251,376.99
  5. Step 5: Solve for x
    x = 251,376.99/443.30
  6. Step 6: Final answer
    x = 567.06

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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.