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Finding the Fourth Proportional to 317.19, 475.98 and 209.05

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Solution

The fourth proportional to 317.19, 475.98 and 209.05 is: 313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.19 : 475.98 = 209.05 : x
  2. Step 2: Convert to fraction form
    317.19/475.98 = 209.05/x
  3. Step 3: Cross multiply
    317.19x = 475.98 × 209.05
  4. Step 4: Simplify right side
    317.19x = 99,503.62
  5. Step 5: Solve for x
    x = 99,503.62/317.19
  6. Step 6: Final answer
    x = 313.70

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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.