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Finding the Fourth Proportional to 486.01, 670.17 and 361.46

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Solution

The fourth proportional to 486.01, 670.17 and 361.46 is: 498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.01 : 670.17 = 361.46 : x
  2. Step 2: Convert to fraction form
    486.01/670.17 = 361.46/x
  3. Step 3: Cross multiply
    486.01x = 670.17 × 361.46
  4. Step 4: Simplify right side
    486.01x = 242,239.65
  5. Step 5: Solve for x
    x = 242,239.65/486.01
  6. Step 6: Final answer
    x = 498.43

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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.