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Finding the Fourth Proportional to 107.80, 147.49 and 107.48

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Solution

The fourth proportional to 107.80, 147.49 and 107.48 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.80 : 147.49 = 107.48 : x
  2. Step 2: Convert to fraction form
    107.80/147.49 = 107.48/x
  3. Step 3: Cross multiply
    107.80x = 147.49 × 107.48
  4. Step 4: Simplify right side
    107.80x = 15,852.23
  5. Step 5: Solve for x
    x = 15,852.23/107.80
  6. Step 6: Final answer
    x = 147.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.