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Finding the Fourth Proportional to 316.68, 476.01 and 209.16

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Solution

The fourth proportional to 316.68, 476.01 and 209.16 is: 314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.68 : 476.01 = 209.16 : x
  2. Step 2: Convert to fraction form
    316.68/476.01 = 209.16/x
  3. Step 3: Cross multiply
    316.68x = 476.01 × 209.16
  4. Step 4: Simplify right side
    316.68x = 99,562.25
  5. Step 5: Solve for x
    x = 99,562.25/316.68
  6. Step 6: Final answer
    x = 314.39

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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.