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Finding the Fourth Proportional to 107.40, 148.14 and 76.38

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Solution

The fourth proportional to 107.40, 148.14 and 76.38 is: 105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 148.14 = 76.38 : x
  2. Step 2: Convert to fraction form
    107.40/148.14 = 76.38/x
  3. Step 3: Cross multiply
    107.40x = 148.14 × 76.38
  4. Step 4: Simplify right side
    107.40x = 11,314.93
  5. Step 5: Solve for x
    x = 11,314.93/107.40
  6. Step 6: Final answer
    x = 105.35

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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.