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Finding the Fourth Proportional to 293.22, 404.75 and 210.30

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Solution

The fourth proportional to 293.22, 404.75 and 210.30 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 404.75 = 210.30 : x
  2. Step 2: Convert to fraction form
    293.22/404.75 = 210.30/x
  3. Step 3: Cross multiply
    293.22x = 404.75 × 210.30
  4. Step 4: Simplify right side
    293.22x = 85,116.75
  5. Step 5: Solve for x
    x = 85,116.75/293.22
  6. Step 6: Final answer
    x = 290.28

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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.