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Finding the Fourth Proportional to 217.03, 322.75 and 210.20

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Solution

The fourth proportional to 217.03, 322.75 and 210.20 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.03 : 322.75 = 210.20 : x
  2. Step 2: Convert to fraction form
    217.03/322.75 = 210.20/x
  3. Step 3: Cross multiply
    217.03x = 322.75 × 210.20
  4. Step 4: Simplify right side
    217.03x = 67,840.44
  5. Step 5: Solve for x
    x = 67,840.44/217.03
  6. Step 6: Final answer
    x = 312.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.