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Finding the Fourth Proportional to 193.20, 288.03 and 176.10

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Solution

The fourth proportional to 193.20, 288.03 and 176.10 is: 262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.20 : 288.03 = 176.10 : x
  2. Step 2: Convert to fraction form
    193.20/288.03 = 176.10/x
  3. Step 3: Cross multiply
    193.20x = 288.03 × 176.10
  4. Step 4: Simplify right side
    193.20x = 50,722.08
  5. Step 5: Solve for x
    x = 50,722.08/193.20
  6. Step 6: Final answer
    x = 262.54

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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.