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Finding the Fourth Proportional to 213.08, 317.95 and 200.02

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Solution

The fourth proportional to 213.08, 317.95 and 200.02 is: 298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.08 : 317.95 = 200.02 : x
  2. Step 2: Convert to fraction form
    213.08/317.95 = 200.02/x
  3. Step 3: Cross multiply
    213.08x = 317.95 × 200.02
  4. Step 4: Simplify right side
    213.08x = 63,596.22
  5. Step 5: Solve for x
    x = 63,596.22/213.08
  6. Step 6: Final answer
    x = 298.46

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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.