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Finding the Fourth Proportional to 313.95, 470.88 and 82.86

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Solution

The fourth proportional to 313.95, 470.88 and 82.86 is: 124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.95 : 470.88 = 82.86 : x
  2. Step 2: Convert to fraction form
    313.95/470.88 = 82.86/x
  3. Step 3: Cross multiply
    313.95x = 470.88 × 82.86
  4. Step 4: Simplify right side
    313.95x = 39,017.12
  5. Step 5: Solve for x
    x = 39,017.12/313.95
  6. Step 6: Final answer
    x = 124.28

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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.