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Finding the Fourth Proportional to 313.26, 470.22 and 256.15

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Solution

The fourth proportional to 313.26, 470.22 and 256.15 is: 384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 470.22 = 256.15 : x
  2. Step 2: Convert to fraction form
    313.26/470.22 = 256.15/x
  3. Step 3: Cross multiply
    313.26x = 470.22 × 256.15
  4. Step 4: Simplify right side
    313.26x = 120,446.85
  5. Step 5: Solve for x
    x = 120,446.85/313.26
  6. Step 6: Final answer
    x = 384.49

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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.