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Finding the Fourth Proportional to 817, 1,225.50 and 209

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Solution

The fourth proportional to 817, 1,225.50 and 209 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,225.50 = 209 : x
  2. Step 2: Convert to fraction form
    817/1,225.50 = 209/x
  3. Step 3: Cross multiply
    817x = 1,225.50 × 209
  4. Step 4: Simplify right side
    817x = 256,129.50
  5. Step 5: Solve for x
    x = 256,129.50/817
  6. Step 6: Final answer
    x = 313.50

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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.