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Finding the Fourth Proportional to 312.84, 431.46 and 209.52

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Solution

The fourth proportional to 312.84, 431.46 and 209.52 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 431.46 = 209.52 : x
  2. Step 2: Convert to fraction form
    312.84/431.46 = 209.52/x
  3. Step 3: Cross multiply
    312.84x = 431.46 × 209.52
  4. Step 4: Simplify right side
    312.84x = 90,399.50
  5. Step 5: Solve for x
    x = 90,399.50/312.84
  6. Step 6: Final answer
    x = 288.96

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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.