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Finding the Fourth Proportional to 192.80, 289.10 and 154.35

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Solution

The fourth proportional to 192.80, 289.10 and 154.35 is: 231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 289.10 = 154.35 : x
  2. Step 2: Convert to fraction form
    192.80/289.10 = 154.35/x
  3. Step 3: Cross multiply
    192.80x = 289.10 × 154.35
  4. Step 4: Simplify right side
    192.80x = 44,621.81
  5. Step 5: Solve for x
    x = 44,621.81/192.80
  6. Step 6: Final answer
    x = 231.45

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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.