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Finding the Fourth Proportional to 164.22, 244.55 and 157.20

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Solution

The fourth proportional to 164.22, 244.55 and 157.20 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.22 : 244.55 = 157.20 : x
  2. Step 2: Convert to fraction form
    164.22/244.55 = 157.20/x
  3. Step 3: Cross multiply
    164.22x = 244.55 × 157.20
  4. Step 4: Simplify right side
    164.22x = 38,443.26
  5. Step 5: Solve for x
    x = 38,443.26/164.22
  6. Step 6: Final answer
    x = 234.10

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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.