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Finding the Fourth Proportional to 213.51, 294.36 and 161.10

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Solution

The fourth proportional to 213.51, 294.36 and 161.10 is: 222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.51 : 294.36 = 161.10 : x
  2. Step 2: Convert to fraction form
    213.51/294.36 = 161.10/x
  3. Step 3: Cross multiply
    213.51x = 294.36 × 161.10
  4. Step 4: Simplify right side
    213.51x = 47,421.40
  5. Step 5: Solve for x
    x = 47,421.40/213.51
  6. Step 6: Final answer
    x = 222.10

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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.