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Finding the Fourth Proportional to 320.87, 477.84 and 300.11

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Solution

The fourth proportional to 320.87, 477.84 and 300.11 is: 446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.87 : 477.84 = 300.11 : x
  2. Step 2: Convert to fraction form
    320.87/477.84 = 300.11/x
  3. Step 3: Cross multiply
    320.87x = 477.84 × 300.11
  4. Step 4: Simplify right side
    320.87x = 143,403.37
  5. Step 5: Solve for x
    x = 143,403.37/320.87
  6. Step 6: Final answer
    x = 446.92

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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.