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Finding the Fourth Proportional to 213.30, 317.88 and 201.54

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Solution

The fourth proportional to 213.30, 317.88 and 201.54 is: 300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.30 : 317.88 = 201.54 : x
  2. Step 2: Convert to fraction form
    213.30/317.88 = 201.54/x
  3. Step 3: Cross multiply
    213.30x = 317.88 × 201.54
  4. Step 4: Simplify right side
    213.30x = 64,065.54
  5. Step 5: Solve for x
    x = 64,065.54/213.30
  6. Step 6: Final answer
    x = 300.35

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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.