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Finding the Fourth Proportional to 137.34, 206.06 and 65.19

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Solution

The fourth proportional to 137.34, 206.06 and 65.19 is: 97.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 206.06 = 65.19 : x
  2. Step 2: Convert to fraction form
    137.34/206.06 = 65.19/x
  3. Step 3: Cross multiply
    137.34x = 206.06 × 65.19
  4. Step 4: Simplify right side
    137.34x = 13,432.73
  5. Step 5: Solve for x
    x = 13,432.73/137.34
  6. Step 6: Final answer
    x = 97.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.