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Finding the Fourth Proportional to 193.23, 288.30 and 172.77

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Solution

The fourth proportional to 193.23, 288.30 and 172.77 is: 257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 288.30 = 172.77 : x
  2. Step 2: Convert to fraction form
    193.23/288.30 = 172.77/x
  3. Step 3: Cross multiply
    193.23x = 288.30 × 172.77
  4. Step 4: Simplify right side
    193.23x = 49,809.59
  5. Step 5: Solve for x
    x = 49,809.59/193.23
  6. Step 6: Final answer
    x = 257.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.