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Finding the Fourth Proportional to 105.43, 157.43 and 90.19

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Solution

The fourth proportional to 105.43, 157.43 and 90.19 is: 134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.43 : 157.43 = 90.19 : x
  2. Step 2: Convert to fraction form
    105.43/157.43 = 90.19/x
  3. Step 3: Cross multiply
    105.43x = 157.43 × 90.19
  4. Step 4: Simplify right side
    105.43x = 14,198.61
  5. Step 5: Solve for x
    x = 14,198.61/105.43
  6. Step 6: Final answer
    x = 134.67

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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.