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Finding the Fourth Proportional to 486.43, 670.96 and 297.28

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Solution

The fourth proportional to 486.43, 670.96 and 297.28 is: 410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.43 : 670.96 = 297.28 : x
  2. Step 2: Convert to fraction form
    486.43/670.96 = 297.28/x
  3. Step 3: Cross multiply
    486.43x = 670.96 × 297.28
  4. Step 4: Simplify right side
    486.43x = 199,465.25
  5. Step 5: Solve for x
    x = 199,465.25/486.43
  6. Step 6: Final answer
    x = 410.06

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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.