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Finding the Fourth Proportional to 486.22, 670.98 and 297.11

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Solution

The fourth proportional to 486.22, 670.98 and 297.11 is: 410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.22 : 670.98 = 297.11 : x
  2. Step 2: Convert to fraction form
    486.22/670.98 = 297.11/x
  3. Step 3: Cross multiply
    486.22x = 670.98 × 297.11
  4. Step 4: Simplify right side
    486.22x = 199,354.87
  5. Step 5: Solve for x
    x = 199,354.87/486.22
  6. Step 6: Final answer
    x = 410.01

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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.