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Finding the Fourth Proportional to 106.37, 146.62 and 84.50

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Solution

The fourth proportional to 106.37, 146.62 and 84.50 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.37 : 146.62 = 84.50 : x
  2. Step 2: Convert to fraction form
    106.37/146.62 = 84.50/x
  3. Step 3: Cross multiply
    106.37x = 146.62 × 84.50
  4. Step 4: Simplify right side
    106.37x = 12,389.39
  5. Step 5: Solve for x
    x = 12,389.39/106.37
  6. Step 6: Final answer
    x = 116.47

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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.