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Finding the Fourth Proportional to 289.54, 434.51 and 192.09

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Solution

The fourth proportional to 289.54, 434.51 and 192.09 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.54 : 434.51 = 192.09 : x
  2. Step 2: Convert to fraction form
    289.54/434.51 = 192.09/x
  3. Step 3: Cross multiply
    289.54x = 434.51 × 192.09
  4. Step 4: Simplify right side
    289.54x = 83,463.69
  5. Step 5: Solve for x
    x = 83,463.69/289.54
  6. Step 6: Final answer
    x = 288.26

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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.