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Finding the Fourth Proportional to 213.20, 316.40 and 203.52

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Solution

The fourth proportional to 213.20, 316.40 and 203.52 is: 302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.20 : 316.40 = 203.52 : x
  2. Step 2: Convert to fraction form
    213.20/316.40 = 203.52/x
  3. Step 3: Cross multiply
    213.20x = 316.40 × 203.52
  4. Step 4: Simplify right side
    213.20x = 64,393.73
  5. Step 5: Solve for x
    x = 64,393.73/213.20
  6. Step 6: Final answer
    x = 302.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.