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Finding the Fourth Proportional to 300.21, 448.72 and 260.85

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Solution

The fourth proportional to 300.21, 448.72 and 260.85 is: 389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.21 : 448.72 = 260.85 : x
  2. Step 2: Convert to fraction form
    300.21/448.72 = 260.85/x
  3. Step 3: Cross multiply
    300.21x = 448.72 × 260.85
  4. Step 4: Simplify right side
    300.21x = 117,048.61
  5. Step 5: Solve for x
    x = 117,048.61/300.21
  6. Step 6: Final answer
    x = 389.90

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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.