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Finding the Fourth Proportional to 381.45, 524.13 and 311.34

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Solution

The fourth proportional to 381.45, 524.13 and 311.34 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.45 : 524.13 = 311.34 : x
  2. Step 2: Convert to fraction form
    381.45/524.13 = 311.34/x
  3. Step 3: Cross multiply
    381.45x = 524.13 × 311.34
  4. Step 4: Simplify right side
    381.45x = 163,182.63
  5. Step 5: Solve for x
    x = 163,182.63/381.45
  6. Step 6: Final answer
    x = 427.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.