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Finding the Fourth Proportional to 213.19, 317.34 and 203.23

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Solution

The fourth proportional to 213.19, 317.34 and 203.23 is: 302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.19 : 317.34 = 203.23 : x
  2. Step 2: Convert to fraction form
    213.19/317.34 = 203.23/x
  3. Step 3: Cross multiply
    213.19x = 317.34 × 203.23
  4. Step 4: Simplify right side
    213.19x = 64,493.40
  5. Step 5: Solve for x
    x = 64,493.40/213.19
  6. Step 6: Final answer
    x = 302.52

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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.