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Finding the Fourth Proportional to 210.48, 290.20 and 161.28

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Solution

The fourth proportional to 210.48, 290.20 and 161.28 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.48 : 290.20 = 161.28 : x
  2. Step 2: Convert to fraction form
    210.48/290.20 = 161.28/x
  3. Step 3: Cross multiply
    210.48x = 290.20 × 161.28
  4. Step 4: Simplify right side
    210.48x = 46,803.46
  5. Step 5: Solve for x
    x = 46,803.46/210.48
  6. Step 6: Final answer
    x = 222.37

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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.