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Finding the Fourth Proportional to 209.44, 288.95 and 153.50

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Solution

The fourth proportional to 209.44, 288.95 and 153.50 is: 211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 288.95 = 153.50 : x
  2. Step 2: Convert to fraction form
    209.44/288.95 = 153.50/x
  3. Step 3: Cross multiply
    209.44x = 288.95 × 153.50
  4. Step 4: Simplify right side
    209.44x = 44,353.83
  5. Step 5: Solve for x
    x = 44,353.83/209.44
  6. Step 6: Final answer
    x = 211.77

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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.