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Finding the Fourth Proportional to 107.26, 147.80 and 100.31

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Solution

The fourth proportional to 107.26, 147.80 and 100.31 is: 138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.26 : 147.80 = 100.31 : x
  2. Step 2: Convert to fraction form
    107.26/147.80 = 100.31/x
  3. Step 3: Cross multiply
    107.26x = 147.80 × 100.31
  4. Step 4: Simplify right side
    107.26x = 14,825.33
  5. Step 5: Solve for x
    x = 14,825.33/107.26
  6. Step 6: Final answer
    x = 138.22

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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.