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Finding the Fourth Proportional to 208.97, 288.40 and 153.73

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Solution

The fourth proportional to 208.97, 288.40 and 153.73 is: 212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.97 : 288.40 = 153.73 : x
  2. Step 2: Convert to fraction form
    208.97/288.40 = 153.73/x
  3. Step 3: Cross multiply
    208.97x = 288.40 × 153.73
  4. Step 4: Simplify right side
    208.97x = 44,334.63
  5. Step 5: Solve for x
    x = 44,334.63/208.97
  6. Step 6: Final answer
    x = 212.16

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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.