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Finding the Fourth Proportional to 137.54, 205.11 and 128.32

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Solution

The fourth proportional to 137.54, 205.11 and 128.32 is: 191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 205.11 = 128.32 : x
  2. Step 2: Convert to fraction form
    137.54/205.11 = 128.32/x
  3. Step 3: Cross multiply
    137.54x = 205.11 × 128.32
  4. Step 4: Simplify right side
    137.54x = 26,319.20
  5. Step 5: Solve for x
    x = 26,319.20/137.54
  6. Step 6: Final answer
    x = 191.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.