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Finding the Fourth Proportional to 209.54, 312.26 and 203.29

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Solution

The fourth proportional to 209.54, 312.26 and 203.29 is: 302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.54 : 312.26 = 203.29 : x
  2. Step 2: Convert to fraction form
    209.54/312.26 = 203.29/x
  3. Step 3: Cross multiply
    209.54x = 312.26 × 203.29
  4. Step 4: Simplify right side
    209.54x = 63,477.77
  5. Step 5: Solve for x
    x = 63,477.77/209.54
  6. Step 6: Final answer
    x = 302.94

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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.