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Finding the Fourth Proportional to 105.23, 157.86 and 90.20

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Solution

The fourth proportional to 105.23, 157.86 and 90.20 is: 135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 157.86 = 90.20 : x
  2. Step 2: Convert to fraction form
    105.23/157.86 = 90.20/x
  3. Step 3: Cross multiply
    105.23x = 157.86 × 90.20
  4. Step 4: Simplify right side
    105.23x = 14,239.37
  5. Step 5: Solve for x
    x = 14,239.37/105.23
  6. Step 6: Final answer
    x = 135.31

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Why These Related Problems?

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