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Finding the Fourth Proportional to 213.10, 318.36 and 135.41

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Solution

The fourth proportional to 213.10, 318.36 and 135.41 is: 202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 318.36 = 135.41 : x
  2. Step 2: Convert to fraction form
    213.10/318.36 = 135.41/x
  3. Step 3: Cross multiply
    213.10x = 318.36 × 135.41
  4. Step 4: Simplify right side
    213.10x = 43,108.04
  5. Step 5: Solve for x
    x = 43,108.04/213.10
  6. Step 6: Final answer
    x = 202.29

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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.