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Finding the Fourth Proportional to 320.32, 477.44 and 311.68

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Solution

The fourth proportional to 320.32, 477.44 and 311.68 is: 464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 477.44 = 311.68 : x
  2. Step 2: Convert to fraction form
    320.32/477.44 = 311.68/x
  3. Step 3: Cross multiply
    320.32x = 477.44 × 311.68
  4. Step 4: Simplify right side
    320.32x = 148,808.50
  5. Step 5: Solve for x
    x = 148,808.50/320.32
  6. Step 6: Final answer
    x = 464.56

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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.