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Finding the Fourth Proportional to 289.68, 434.56 and 192.80

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Solution

The fourth proportional to 289.68, 434.56 and 192.80 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 434.56 = 192.80 : x
  2. Step 2: Convert to fraction form
    289.68/434.56 = 192.80/x
  3. Step 3: Cross multiply
    289.68x = 434.56 × 192.80
  4. Step 4: Simplify right side
    289.68x = 83,783.17
  5. Step 5: Solve for x
    x = 83,783.17/289.68
  6. Step 6: Final answer
    x = 289.23

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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.