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Finding the Fourth Proportional to 137.36, 207.10 and 128.08

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Solution

The fourth proportional to 137.36, 207.10 and 128.08 is: 193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.36 : 207.10 = 128.08 : x
  2. Step 2: Convert to fraction form
    137.36/207.10 = 128.08/x
  3. Step 3: Cross multiply
    137.36x = 207.10 × 128.08
  4. Step 4: Simplify right side
    137.36x = 26,525.37
  5. Step 5: Solve for x
    x = 26,525.37/137.36
  6. Step 6: Final answer
    x = 193.11

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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.