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Finding the Fourth Proportional to 316.06, 470.89 and 300.55

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Solution

The fourth proportional to 316.06, 470.89 and 300.55 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.06 : 470.89 = 300.55 : x
  2. Step 2: Convert to fraction form
    316.06/470.89 = 300.55/x
  3. Step 3: Cross multiply
    316.06x = 470.89 × 300.55
  4. Step 4: Simplify right side
    316.06x = 141,525.99
  5. Step 5: Solve for x
    x = 141,525.99/316.06
  6. Step 6: Final answer
    x = 447.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.