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Finding the Fourth Proportional to 300.70, 448.07 and 286.93

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Solution

The fourth proportional to 300.70, 448.07 and 286.93 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.70 : 448.07 = 286.93 : x
  2. Step 2: Convert to fraction form
    300.70/448.07 = 286.93/x
  3. Step 3: Cross multiply
    300.70x = 448.07 × 286.93
  4. Step 4: Simplify right side
    300.70x = 128,564.73
  5. Step 5: Solve for x
    x = 128,564.73/300.70
  6. Step 6: Final answer
    x = 427.55

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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.