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Finding the Fourth Proportional to 300.78, 448.56 and 261.90

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Solution

The fourth proportional to 300.78, 448.56 and 261.90 is: 390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 448.56 = 261.90 : x
  2. Step 2: Convert to fraction form
    300.78/448.56 = 261.90/x
  3. Step 3: Cross multiply
    300.78x = 448.56 × 261.90
  4. Step 4: Simplify right side
    300.78x = 117,477.86
  5. Step 5: Solve for x
    x = 117,477.86/300.78
  6. Step 6: Final answer
    x = 390.58

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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.