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Finding the Fourth Proportional to 137.34, 204.76 and 128.22

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Solution

The fourth proportional to 137.34, 204.76 and 128.22 is: 191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 204.76 = 128.22 : x
  2. Step 2: Convert to fraction form
    137.34/204.76 = 128.22/x
  3. Step 3: Cross multiply
    137.34x = 204.76 × 128.22
  4. Step 4: Simplify right side
    137.34x = 26,254.33
  5. Step 5: Solve for x
    x = 26,254.33/137.34
  6. Step 6: Final answer
    x = 191.16

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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.