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Finding the Fourth Proportional to 486.42, 670.11 and 336.90

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Solution

The fourth proportional to 486.42, 670.11 and 336.90 is: 464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.42 : 670.11 = 336.90 : x
  2. Step 2: Convert to fraction form
    486.42/670.11 = 336.90/x
  3. Step 3: Cross multiply
    486.42x = 670.11 × 336.90
  4. Step 4: Simplify right side
    486.42x = 225,760.06
  5. Step 5: Solve for x
    x = 225,760.06/486.42
  6. Step 6: Final answer
    x = 464.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.