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Finding the Fourth Proportional to 313.25, 469.88 and 82.12

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Solution

The fourth proportional to 313.25, 469.88 and 82.12 is: 123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 469.88 = 82.12 : x
  2. Step 2: Convert to fraction form
    313.25/469.88 = 82.12/x
  3. Step 3: Cross multiply
    313.25x = 469.88 × 82.12
  4. Step 4: Simplify right side
    313.25x = 38,586.55
  5. Step 5: Solve for x
    x = 38,586.55/313.25
  6. Step 6: Final answer
    x = 123.18

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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.