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Finding the Fourth Proportional to 313, 470.10 and 255.26

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Solution

The fourth proportional to 313, 470.10 and 255.26 is: 383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313 : 470.10 = 255.26 : x
  2. Step 2: Convert to fraction form
    313/470.10 = 255.26/x
  3. Step 3: Cross multiply
    313x = 470.10 × 255.26
  4. Step 4: Simplify right side
    313x = 119,997.73
  5. Step 5: Solve for x
    x = 119,997.73/313
  6. Step 6: Final answer
    x = 383.38

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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.