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Finding the Fourth Proportional to 383.32, 573.62 and 311

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Solution

The fourth proportional to 383.32, 573.62 and 311 is: 465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.32 : 573.62 = 311 : x
  2. Step 2: Convert to fraction form
    383.32/573.62 = 311/x
  3. Step 3: Cross multiply
    383.32x = 573.62 × 311
  4. Step 4: Simplify right side
    383.32x = 178,395.82
  5. Step 5: Solve for x
    x = 178,395.82/383.32
  6. Step 6: Final answer
    x = 465.40

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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.