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Finding the Fourth Proportional to 317.94, 435.57 and 306.09

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Solution

The fourth proportional to 317.94, 435.57 and 306.09 is: 419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.94 : 435.57 = 306.09 : x
  2. Step 2: Convert to fraction form
    317.94/435.57 = 306.09/x
  3. Step 3: Cross multiply
    317.94x = 435.57 × 306.09
  4. Step 4: Simplify right side
    317.94x = 133,323.62
  5. Step 5: Solve for x
    x = 133,323.62/317.94
  6. Step 6: Final answer
    x = 419.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.