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Finding the Fourth Proportional to 107.21, 148.49 and 99.32

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Solution

The fourth proportional to 107.21, 148.49 and 99.32 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.21 : 148.49 = 99.32 : x
  2. Step 2: Convert to fraction form
    107.21/148.49 = 99.32/x
  3. Step 3: Cross multiply
    107.21x = 148.49 × 99.32
  4. Step 4: Simplify right side
    107.21x = 14,746.79
  5. Step 5: Solve for x
    x = 14,746.79/107.21
  6. Step 6: Final answer
    x = 137.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.