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Finding the Fourth Proportional to 312.75, 468.18 and 209.21

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Solution

The fourth proportional to 312.75, 468.18 and 209.21 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 468.18 = 209.21 : x
  2. Step 2: Convert to fraction form
    312.75/468.18 = 209.21/x
  3. Step 3: Cross multiply
    312.75x = 468.18 × 209.21
  4. Step 4: Simplify right side
    312.75x = 97,945.60
  5. Step 5: Solve for x
    x = 97,945.60/312.75
  6. Step 6: Final answer
    x = 313.18

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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.