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Finding the Fourth Proportional to 368.85, 552.60 and 311.43

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Solution

The fourth proportional to 368.85, 552.60 and 311.43 is: 466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.85 : 552.60 = 311.43 : x
  2. Step 2: Convert to fraction form
    368.85/552.60 = 311.43/x
  3. Step 3: Cross multiply
    368.85x = 552.60 × 311.43
  4. Step 4: Simplify right side
    368.85x = 172,096.22
  5. Step 5: Solve for x
    x = 172,096.22/368.85
  6. Step 6: Final answer
    x = 466.58

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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.