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Finding the Fourth Proportional to 313.69, 470.54 and 82.59

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Solution

The fourth proportional to 313.69, 470.54 and 82.59 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.69 : 470.54 = 82.59 : x
  2. Step 2: Convert to fraction form
    313.69/470.54 = 82.59/x
  3. Step 3: Cross multiply
    313.69x = 470.54 × 82.59
  4. Step 4: Simplify right side
    313.69x = 38,860.34
  5. Step 5: Solve for x
    x = 38,860.34/313.69
  6. Step 6: Final answer
    x = 123.88

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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.