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Finding the Fourth Proportional to 300.57, 448.41 and 260.07

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Solution

The fourth proportional to 300.57, 448.41 and 260.07 is: 387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.57 : 448.41 = 260.07 : x
  2. Step 2: Convert to fraction form
    300.57/448.41 = 260.07/x
  3. Step 3: Cross multiply
    300.57x = 448.41 × 260.07
  4. Step 4: Simplify right side
    300.57x = 116,617.99
  5. Step 5: Solve for x
    x = 116,617.99/300.57
  6. Step 6: Final answer
    x = 387.99

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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.