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Finding the Fourth Proportional to 443.61, 664.33 and 313.42

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Solution

The fourth proportional to 443.61, 664.33 and 313.42 is: 469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.61 : 664.33 = 313.42 : x
  2. Step 2: Convert to fraction form
    443.61/664.33 = 313.42/x
  3. Step 3: Cross multiply
    443.61x = 664.33 × 313.42
  4. Step 4: Simplify right side
    443.61x = 208,214.31
  5. Step 5: Solve for x
    x = 208,214.31/443.61
  6. Step 6: Final answer
    x = 469.36

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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.