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Finding the Fourth Proportional to 317.22, 475.53 and 214.17

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Solution

The fourth proportional to 317.22, 475.53 and 214.17 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.22 : 475.53 = 214.17 : x
  2. Step 2: Convert to fraction form
    317.22/475.53 = 214.17/x
  3. Step 3: Cross multiply
    317.22x = 475.53 × 214.17
  4. Step 4: Simplify right side
    317.22x = 101,844.26
  5. Step 5: Solve for x
    x = 101,844.26/317.22
  6. Step 6: Final answer
    x = 321.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.