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Finding the Fourth Proportional to 313.56, 470.12 and 130.81

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Solution

The fourth proportional to 313.56, 470.12 and 130.81 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.56 : 470.12 = 130.81 : x
  2. Step 2: Convert to fraction form
    313.56/470.12 = 130.81/x
  3. Step 3: Cross multiply
    313.56x = 470.12 × 130.81
  4. Step 4: Simplify right side
    313.56x = 61,494.57
  5. Step 5: Solve for x
    x = 61,494.57/313.56
  6. Step 6: Final answer
    x = 196.12

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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.