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Finding the Fourth Proportional to 161.23, 222.53 and 106.01

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Solution

The fourth proportional to 161.23, 222.53 and 106.01 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.23 : 222.53 = 106.01 : x
  2. Step 2: Convert to fraction form
    161.23/222.53 = 106.01/x
  3. Step 3: Cross multiply
    161.23x = 222.53 × 106.01
  4. Step 4: Simplify right side
    161.23x = 23,590.41
  5. Step 5: Solve for x
    x = 23,590.41/161.23
  6. Step 6: Final answer
    x = 146.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.