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Finding the Fourth Proportional to 107.78, 148.84 and 83.30

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Solution

The fourth proportional to 107.78, 148.84 and 83.30 is: 115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 148.84 = 83.30 : x
  2. Step 2: Convert to fraction form
    107.78/148.84 = 83.30/x
  3. Step 3: Cross multiply
    107.78x = 148.84 × 83.30
  4. Step 4: Simplify right side
    107.78x = 12,398.37
  5. Step 5: Solve for x
    x = 12,398.37/107.78
  6. Step 6: Final answer
    x = 115.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.