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Finding the Fourth Proportional to 192.38, 289.98 and 172.53

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Solution

The fourth proportional to 192.38, 289.98 and 172.53 is: 260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.38 : 289.98 = 172.53 : x
  2. Step 2: Convert to fraction form
    192.38/289.98 = 172.53/x
  3. Step 3: Cross multiply
    192.38x = 289.98 × 172.53
  4. Step 4: Simplify right side
    192.38x = 50,030.25
  5. Step 5: Solve for x
    x = 50,030.25/192.38
  6. Step 6: Final answer
    x = 260.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.