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Finding the Fourth Proportional to 213.60, 294.88 and 161.76

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Solution

The fourth proportional to 213.60, 294.88 and 161.76 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.60 : 294.88 = 161.76 : x
  2. Step 2: Convert to fraction form
    213.60/294.88 = 161.76/x
  3. Step 3: Cross multiply
    213.60x = 294.88 × 161.76
  4. Step 4: Simplify right side
    213.60x = 47,699.79
  5. Step 5: Solve for x
    x = 47,699.79/213.60
  6. Step 6: Final answer
    x = 223.31

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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.