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Finding the Fourth Proportional to 193.20, 288.64 and 156.80

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Solution

The fourth proportional to 193.20, 288.64 and 156.80 is: 234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 288.64 = 156.80 : x
  2. Step 2: Convert to fraction form
    193.20/288.64 = 156.80/x
  3. Step 3: Cross multiply
    193.20x = 288.64 × 156.80
  4. Step 4: Simplify right side
    193.20x = 45,258.75
  5. Step 5: Solve for x
    x = 45,258.75/193.20
  6. Step 6: Final answer
    x = 234.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.