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Finding the Fourth Proportional to 193.04, 288.06 and 175.79

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Solution

The fourth proportional to 193.04, 288.06 and 175.79 is: 262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 288.06 = 175.79 : x
  2. Step 2: Convert to fraction form
    193.04/288.06 = 175.79/x
  3. Step 3: Cross multiply
    193.04x = 288.06 × 175.79
  4. Step 4: Simplify right side
    193.04x = 50,638.07
  5. Step 5: Solve for x
    x = 50,638.07/193.04
  6. Step 6: Final answer
    x = 262.32

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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.