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Finding the Fourth Proportional to 193.34, 288.51 and 172.89

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Solution

The fourth proportional to 193.34, 288.51 and 172.89 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.34 : 288.51 = 172.89 : x
  2. Step 2: Convert to fraction form
    193.34/288.51 = 172.89/x
  3. Step 3: Cross multiply
    193.34x = 288.51 × 172.89
  4. Step 4: Simplify right side
    193.34x = 49,880.49
  5. Step 5: Solve for x
    x = 49,880.49/193.34
  6. Step 6: Final answer
    x = 257.99

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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.