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Finding the Fourth Proportional to 107.82, 162.32 and 98.40

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Solution

The fourth proportional to 107.82, 162.32 and 98.40 is: 148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 162.32 = 98.40 : x
  2. Step 2: Convert to fraction form
    107.82/162.32 = 98.40/x
  3. Step 3: Cross multiply
    107.82x = 162.32 × 98.40
  4. Step 4: Simplify right side
    107.82x = 15,972.29
  5. Step 5: Solve for x
    x = 15,972.29/107.82
  6. Step 6: Final answer
    x = 148.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.