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Finding the Fourth Proportional to 193.08, 288.81 and 146.91

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Solution

The fourth proportional to 193.08, 288.81 and 146.91 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 288.81 = 146.91 : x
  2. Step 2: Convert to fraction form
    193.08/288.81 = 146.91/x
  3. Step 3: Cross multiply
    193.08x = 288.81 × 146.91
  4. Step 4: Simplify right side
    193.08x = 42,429.08
  5. Step 5: Solve for x
    x = 42,429.08/193.08
  6. Step 6: Final answer
    x = 219.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.