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Finding the Fourth Proportional to 300.87, 448.47 and 285.48

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Solution

The fourth proportional to 300.87, 448.47 and 285.48 is: 425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.87 : 448.47 = 285.48 : x
  2. Step 2: Convert to fraction form
    300.87/448.47 = 285.48/x
  3. Step 3: Cross multiply
    300.87x = 448.47 × 285.48
  4. Step 4: Simplify right side
    300.87x = 128,029.22
  5. Step 5: Solve for x
    x = 128,029.22/300.87
  6. Step 6: Final answer
    x = 425.53

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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.