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Finding the Fourth Proportional to 213.10, 293.61 and 178

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Solution

The fourth proportional to 213.10, 293.61 and 178 is: 245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 293.61 = 178 : x
  2. Step 2: Convert to fraction form
    213.10/293.61 = 178/x
  3. Step 3: Cross multiply
    213.10x = 293.61 × 178
  4. Step 4: Simplify right side
    213.10x = 52,262.58
  5. Step 5: Solve for x
    x = 52,262.58/213.10
  6. Step 6: Final answer
    x = 245.25

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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.