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Finding the Fourth Proportional to 313.90, 470.84 and 82.80

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Solution

The fourth proportional to 313.90, 470.84 and 82.80 is: 124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.90 : 470.84 = 82.80 : x
  2. Step 2: Convert to fraction form
    313.90/470.84 = 82.80/x
  3. Step 3: Cross multiply
    313.90x = 470.84 × 82.80
  4. Step 4: Simplify right side
    313.90x = 38,985.55
  5. Step 5: Solve for x
    x = 38,985.55/313.90
  6. Step 6: Final answer
    x = 124.20

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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.