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Finding the Fourth Proportional to 173.09, 257.92 and 153.95

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Solution

The fourth proportional to 173.09, 257.92 and 153.95 is: 229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.09 : 257.92 = 153.95 : x
  2. Step 2: Convert to fraction form
    173.09/257.92 = 153.95/x
  3. Step 3: Cross multiply
    173.09x = 257.92 × 153.95
  4. Step 4: Simplify right side
    173.09x = 39,705.11
  5. Step 5: Solve for x
    x = 39,705.11/173.09
  6. Step 6: Final answer
    x = 229.39

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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.