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Finding the Fourth Proportional to 161.36, 221.40 and 157.28

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Solution

The fourth proportional to 161.36, 221.40 and 157.28 is: 215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.36 : 221.40 = 157.28 : x
  2. Step 2: Convert to fraction form
    161.36/221.40 = 157.28/x
  3. Step 3: Cross multiply
    161.36x = 221.40 × 157.28
  4. Step 4: Simplify right side
    161.36x = 34,821.79
  5. Step 5: Solve for x
    x = 34,821.79/161.36
  6. Step 6: Final answer
    x = 215.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.