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Finding the Fourth Proportional to 213.78, 318.55 and 188.26

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Solution

The fourth proportional to 213.78, 318.55 and 188.26 is: 280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.78 : 318.55 = 188.26 : x
  2. Step 2: Convert to fraction form
    213.78/318.55 = 188.26/x
  3. Step 3: Cross multiply
    213.78x = 318.55 × 188.26
  4. Step 4: Simplify right side
    213.78x = 59,970.22
  5. Step 5: Solve for x
    x = 59,970.22/213.78
  6. Step 6: Final answer
    x = 280.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.