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Finding the Fourth Proportional to 213.89, 294.48 and 176.99

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Solution

The fourth proportional to 213.89, 294.48 and 176.99 is: 243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 294.48 = 176.99 : x
  2. Step 2: Convert to fraction form
    213.89/294.48 = 176.99/x
  3. Step 3: Cross multiply
    213.89x = 294.48 × 176.99
  4. Step 4: Simplify right side
    213.89x = 52,118.54
  5. Step 5: Solve for x
    x = 52,118.54/213.89
  6. Step 6: Final answer
    x = 243.68

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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.