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Finding the Fourth Proportional to 313.52, 470.31 and 130.94

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Solution

The fourth proportional to 313.52, 470.31 and 130.94 is: 196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 470.31 = 130.94 : x
  2. Step 2: Convert to fraction form
    313.52/470.31 = 130.94/x
  3. Step 3: Cross multiply
    313.52x = 470.31 × 130.94
  4. Step 4: Simplify right side
    313.52x = 61,579.55
  5. Step 5: Solve for x
    x = 61,579.55/313.52
  6. Step 6: Final answer
    x = 196.41

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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.