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Finding the Fourth Proportional to 213.85, 322.36 and 210.61

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Solution

The fourth proportional to 213.85, 322.36 and 210.61 is: 317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.85 : 322.36 = 210.61 : x
  2. Step 2: Convert to fraction form
    213.85/322.36 = 210.61/x
  3. Step 3: Cross multiply
    213.85x = 322.36 × 210.61
  4. Step 4: Simplify right side
    213.85x = 67,892.24
  5. Step 5: Solve for x
    x = 67,892.24/213.85
  6. Step 6: Final answer
    x = 317.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.