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Finding the Fourth Proportional to 107.65, 148.49 and 63.38

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Solution

The fourth proportional to 107.65, 148.49 and 63.38 is: 87.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.65 : 148.49 = 63.38 : x
  2. Step 2: Convert to fraction form
    107.65/148.49 = 63.38/x
  3. Step 3: Cross multiply
    107.65x = 148.49 × 63.38
  4. Step 4: Simplify right side
    107.65x = 9,410.98
  5. Step 5: Solve for x
    x = 9,410.98/107.65
  6. Step 6: Final answer
    x = 87.43

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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.