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Finding the Fourth Proportional to 107.30, 148.41 and 84.21

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Solution

The fourth proportional to 107.30, 148.41 and 84.21 is: 116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 148.41 = 84.21 : x
  2. Step 2: Convert to fraction form
    107.30/148.41 = 84.21/x
  3. Step 3: Cross multiply
    107.30x = 148.41 × 84.21
  4. Step 4: Simplify right side
    107.30x = 12,497.61
  5. Step 5: Solve for x
    x = 12,497.61/107.30
  6. Step 6: Final answer
    x = 116.48

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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.