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Finding the Fourth Proportional to 443.48, 609.48 and 364.67

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Solution

The fourth proportional to 443.48, 609.48 and 364.67 is: 501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 609.48 = 364.67 : x
  2. Step 2: Convert to fraction form
    443.48/609.48 = 364.67/x
  3. Step 3: Cross multiply
    443.48x = 609.48 × 364.67
  4. Step 4: Simplify right side
    443.48x = 222,259.07
  5. Step 5: Solve for x
    x = 222,259.07/443.48
  6. Step 6: Final answer
    x = 501.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.