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Finding the Fourth Proportional to 314.46, 433.98 and 209.36

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Solution

The fourth proportional to 314.46, 433.98 and 209.36 is: 288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 433.98 = 209.36 : x
  2. Step 2: Convert to fraction form
    314.46/433.98 = 209.36/x
  3. Step 3: Cross multiply
    314.46x = 433.98 × 209.36
  4. Step 4: Simplify right side
    314.46x = 90,858.05
  5. Step 5: Solve for x
    x = 90,858.05/314.46
  6. Step 6: Final answer
    x = 288.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.