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Finding the Fourth Proportional to 433.08, 648.81 and 309.42

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Solution

The fourth proportional to 433.08, 648.81 and 309.42 is: 463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.08 : 648.81 = 309.42 : x
  2. Step 2: Convert to fraction form
    433.08/648.81 = 309.42/x
  3. Step 3: Cross multiply
    433.08x = 648.81 × 309.42
  4. Step 4: Simplify right side
    433.08x = 200,754.79
  5. Step 5: Solve for x
    x = 200,754.79/433.08
  6. Step 6: Final answer
    x = 463.55

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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.