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Finding the Fourth Proportional to 316.70, 475.06 and 209.06

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Solution

The fourth proportional to 316.70, 475.06 and 209.06 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.70 : 475.06 = 209.06 : x
  2. Step 2: Convert to fraction form
    316.70/475.06 = 209.06/x
  3. Step 3: Cross multiply
    316.70x = 475.06 × 209.06
  4. Step 4: Simplify right side
    316.70x = 99,316.04
  5. Step 5: Solve for x
    x = 99,316.04/316.70
  6. Step 6: Final answer
    x = 313.60

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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.