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Finding the Fourth Proportional to 313.49, 470.26 and 248.48

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Solution

The fourth proportional to 313.49, 470.26 and 248.48 is: 372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 470.26 = 248.48 : x
  2. Step 2: Convert to fraction form
    313.49/470.26 = 248.48/x
  3. Step 3: Cross multiply
    313.49x = 470.26 × 248.48
  4. Step 4: Simplify right side
    313.49x = 116,853.27
  5. Step 5: Solve for x
    x = 116,853.27/313.49
  6. Step 6: Final answer
    x = 372.75

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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.