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Finding the Fourth Proportional to 289.23, 433.30 and 192.75

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Solution

The fourth proportional to 289.23, 433.30 and 192.75 is: 288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 433.30 = 192.75 : x
  2. Step 2: Convert to fraction form
    289.23/433.30 = 192.75/x
  3. Step 3: Cross multiply
    289.23x = 433.30 × 192.75
  4. Step 4: Simplify right side
    289.23x = 83,518.58
  5. Step 5: Solve for x
    x = 83,518.58/289.23
  6. Step 6: Final answer
    x = 288.76

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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.