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Finding the Fourth Proportional to 213.05, 318.93 and 130.56

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Solution

The fourth proportional to 213.05, 318.93 and 130.56 is: 195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 318.93 = 130.56 : x
  2. Step 2: Convert to fraction form
    213.05/318.93 = 130.56/x
  3. Step 3: Cross multiply
    213.05x = 318.93 × 130.56
  4. Step 4: Simplify right side
    213.05x = 41,639.50
  5. Step 5: Solve for x
    x = 41,639.50/213.05
  6. Step 6: Final answer
    x = 195.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.