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Finding the Fourth Proportional to 213.60, 320.98 and 183.20

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Solution

The fourth proportional to 213.60, 320.98 and 183.20 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.60 : 320.98 = 183.20 : x
  2. Step 2: Convert to fraction form
    213.60/320.98 = 183.20/x
  3. Step 3: Cross multiply
    213.60x = 320.98 × 183.20
  4. Step 4: Simplify right side
    213.60x = 58,803.54
  5. Step 5: Solve for x
    x = 58,803.54/213.60
  6. Step 6: Final answer
    x = 275.30

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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.