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Finding the Fourth Proportional to 443.80, 664.35 and 365.50

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Solution

The fourth proportional to 443.80, 664.35 and 365.50 is: 547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.80 : 664.35 = 365.50 : x
  2. Step 2: Convert to fraction form
    443.80/664.35 = 365.50/x
  3. Step 3: Cross multiply
    443.80x = 664.35 × 365.50
  4. Step 4: Simplify right side
    443.80x = 242,819.93
  5. Step 5: Solve for x
    x = 242,819.93/443.80
  6. Step 6: Final answer
    x = 547.14

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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.