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Finding the Fourth Proportional to 209.99, 314.95 and 156.21

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Solution

The fourth proportional to 209.99, 314.95 and 156.21 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 314.95 = 156.21 : x
  2. Step 2: Convert to fraction form
    209.99/314.95 = 156.21/x
  3. Step 3: Cross multiply
    209.99x = 314.95 × 156.21
  4. Step 4: Simplify right side
    209.99x = 49,198.34
  5. Step 5: Solve for x
    x = 49,198.34/209.99
  6. Step 6: Final answer
    x = 234.29

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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.