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Finding the Fourth Proportional to 317.66, 476.62 and 213.98

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Solution

The fourth proportional to 317.66, 476.62 and 213.98 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.66 : 476.62 = 213.98 : x
  2. Step 2: Convert to fraction form
    317.66/476.62 = 213.98/x
  3. Step 3: Cross multiply
    317.66x = 476.62 × 213.98
  4. Step 4: Simplify right side
    317.66x = 101,984.23
  5. Step 5: Solve for x
    x = 101,984.23/317.66
  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.