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Finding the Fourth Proportional to 213.27, 293.40 and 188.25

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Solution

The fourth proportional to 213.27, 293.40 and 188.25 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.27 : 293.40 = 188.25 : x
  2. Step 2: Convert to fraction form
    213.27/293.40 = 188.25/x
  3. Step 3: Cross multiply
    213.27x = 293.40 × 188.25
  4. Step 4: Simplify right side
    213.27x = 55,232.55
  5. Step 5: Solve for x
    x = 55,232.55/213.27
  6. Step 6: Final answer
    x = 258.98

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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.