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Finding the Fourth Proportional to 381.66, 524.45 and 311.58

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Solution

The fourth proportional to 381.66, 524.45 and 311.58 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.66 : 524.45 = 311.58 : x
  2. Step 2: Convert to fraction form
    381.66/524.45 = 311.58/x
  3. Step 3: Cross multiply
    381.66x = 524.45 × 311.58
  4. Step 4: Simplify right side
    381.66x = 163,406.57
  5. Step 5: Solve for x
    x = 163,406.57/381.66
  6. Step 6: Final answer
    x = 428.15

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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.