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Finding the Fourth Proportional to 209.06, 288.51 and 139.00

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Solution

The fourth proportional to 209.06, 288.51 and 139.00 is: 191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.06 : 288.51 = 139.00 : x
  2. Step 2: Convert to fraction form
    209.06/288.51 = 139.00/x
  3. Step 3: Cross multiply
    209.06x = 288.51 × 139.00
  4. Step 4: Simplify right side
    209.06x = 40,100.75
  5. Step 5: Solve for x
    x = 40,100.75/209.06
  6. Step 6: Final answer
    x = 191.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.