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Finding the Fourth Proportional to 317.30, 476.19 and 214.34

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Solution

The fourth proportional to 317.30, 476.19 and 214.34 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 476.19 = 214.34 : x
  2. Step 2: Convert to fraction form
    317.30/476.19 = 214.34/x
  3. Step 3: Cross multiply
    317.30x = 476.19 × 214.34
  4. Step 4: Simplify right side
    317.30x = 102,066.56
  5. Step 5: Solve for x
    x = 102,066.56/317.30
  6. Step 6: Final answer
    x = 321.67

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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.