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Finding the Fourth Proportional to 486.12, 670.53 and 296.97

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Solution

The fourth proportional to 486.12, 670.53 and 296.97 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.12 : 670.53 = 296.97 : x
  2. Step 2: Convert to fraction form
    486.12/670.53 = 296.97/x
  3. Step 3: Cross multiply
    486.12x = 670.53 × 296.97
  4. Step 4: Simplify right side
    486.12x = 199,128.23
  5. Step 5: Solve for x
    x = 199,128.23/486.12
  6. Step 6: Final answer
    x = 409.63

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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.