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Finding the Fourth Proportional to 320.03, 477.43 and 311.21

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Solution

The fourth proportional to 320.03, 477.43 and 311.21 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.03 : 477.43 = 311.21 : x
  2. Step 2: Convert to fraction form
    320.03/477.43 = 311.21/x
  3. Step 3: Cross multiply
    320.03x = 477.43 × 311.21
  4. Step 4: Simplify right side
    320.03x = 148,580.99
  5. Step 5: Solve for x
    x = 148,580.99/320.03
  6. Step 6: Final answer
    x = 464.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.