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Finding the Fourth Proportional to 92.41, 137.64 and 90.41

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Solution

The fourth proportional to 92.41, 137.64 and 90.41 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.41 : 137.64 = 90.41 : x
  2. Step 2: Convert to fraction form
    92.41/137.64 = 90.41/x
  3. Step 3: Cross multiply
    92.41x = 137.64 × 90.41
  4. Step 4: Simplify right side
    92.41x = 12,443.68
  5. Step 5: Solve for x
    x = 12,443.68/92.41
  6. Step 6: Final answer
    x = 134.66

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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.