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Finding the Fourth Proportional to 446.37, 670.47 and 343.30

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Solution

The fourth proportional to 446.37, 670.47 and 343.30 is: 515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.37 : 670.47 = 343.30 : x
  2. Step 2: Convert to fraction form
    446.37/670.47 = 343.30/x
  3. Step 3: Cross multiply
    446.37x = 670.47 × 343.30
  4. Step 4: Simplify right side
    446.37x = 230,172.35
  5. Step 5: Solve for x
    x = 230,172.35/446.37
  6. Step 6: Final answer
    x = 515.65

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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.