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Finding the Fourth Proportional to 137.12, 206.44 and 114.64

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Solution

The fourth proportional to 137.12, 206.44 and 114.64 is: 172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 206.44 = 114.64 : x
  2. Step 2: Convert to fraction form
    137.12/206.44 = 114.64/x
  3. Step 3: Cross multiply
    137.12x = 206.44 × 114.64
  4. Step 4: Simplify right side
    137.12x = 23,666.28
  5. Step 5: Solve for x
    x = 23,666.28/137.12
  6. Step 6: Final answer
    x = 172.60

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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.