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Finding the Fourth Proportional to 209.61, 311.59 and 203.46

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Solution

The fourth proportional to 209.61, 311.59 and 203.46 is: 302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 311.59 = 203.46 : x
  2. Step 2: Convert to fraction form
    209.61/311.59 = 203.46/x
  3. Step 3: Cross multiply
    209.61x = 311.59 × 203.46
  4. Step 4: Simplify right side
    209.61x = 63,396.10
  5. Step 5: Solve for x
    x = 63,396.10/209.61
  6. Step 6: Final answer
    x = 302.46

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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.