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Finding the Fourth Proportional to 208.85, 288.16 and 121.50

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Solution

The fourth proportional to 208.85, 288.16 and 121.50 is: 167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 288.16 = 121.50 : x
  2. Step 2: Convert to fraction form
    208.85/288.16 = 121.50/x
  3. Step 3: Cross multiply
    208.85x = 288.16 × 121.50
  4. Step 4: Simplify right side
    208.85x = 35,011.14
  5. Step 5: Solve for x
    x = 35,011.14/208.85
  6. Step 6: Final answer
    x = 167.64

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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.