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Finding the Fourth Proportional to 320.04, 477.44 and 311.22

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Solution

The fourth proportional to 320.04, 477.44 and 311.22 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.04 : 477.44 = 311.22 : x
  2. Step 2: Convert to fraction form
    320.04/477.44 = 311.22/x
  3. Step 3: Cross multiply
    320.04x = 477.44 × 311.22
  4. Step 4: Simplify right side
    320.04x = 148,588.88
  5. Step 5: Solve for x
    x = 148,588.88/320.04
  6. Step 6: Final answer
    x = 464.28

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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.