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Finding the Fourth Proportional to 107.49, 148.26 and 76.40

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Solution

The fourth proportional to 107.49, 148.26 and 76.40 is: 105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.49 : 148.26 = 76.40 : x
  2. Step 2: Convert to fraction form
    107.49/148.26 = 76.40/x
  3. Step 3: Cross multiply
    107.49x = 148.26 × 76.40
  4. Step 4: Simplify right side
    107.49x = 11,327.06
  5. Step 5: Solve for x
    x = 11,327.06/107.49
  6. Step 6: Final answer
    x = 105.38

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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.