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Finding the Fourth Proportional to 300.87, 448.84 and 284.67

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Solution

The fourth proportional to 300.87, 448.84 and 284.67 is: 424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.87 : 448.84 = 284.67 : x
  2. Step 2: Convert to fraction form
    300.87/448.84 = 284.67/x
  3. Step 3: Cross multiply
    300.87x = 448.84 × 284.67
  4. Step 4: Simplify right side
    300.87x = 127,771.28
  5. Step 5: Solve for x
    x = 127,771.28/300.87
  6. Step 6: Final answer
    x = 424.67

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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.