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Finding the Fourth Proportional to 193.01, 287.79 and 172.49

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Solution

The fourth proportional to 193.01, 287.79 and 172.49 is: 257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.01 : 287.79 = 172.49 : x
  2. Step 2: Convert to fraction form
    193.01/287.79 = 172.49/x
  3. Step 3: Cross multiply
    193.01x = 287.79 × 172.49
  4. Step 4: Simplify right side
    193.01x = 49,639.46
  5. Step 5: Solve for x
    x = 49,639.46/193.01
  6. Step 6: Final answer
    x = 257.19

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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.