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Finding the Fourth Proportional to 313.94, 470.90 and 82.82

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Solution

The fourth proportional to 313.94, 470.90 and 82.82 is: 124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 470.90 = 82.82 : x
  2. Step 2: Convert to fraction form
    313.94/470.90 = 82.82/x
  3. Step 3: Cross multiply
    313.94x = 470.90 × 82.82
  4. Step 4: Simplify right side
    313.94x = 38,999.94
  5. Step 5: Solve for x
    x = 38,999.94/313.94
  6. Step 6: Final answer
    x = 124.23

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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.