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Finding the Fourth Proportional to 173.54, 258.76 and 154.46

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Solution

The fourth proportional to 173.54, 258.76 and 154.46 is: 230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.54 : 258.76 = 154.46 : x
  2. Step 2: Convert to fraction form
    173.54/258.76 = 154.46/x
  3. Step 3: Cross multiply
    173.54x = 258.76 × 154.46
  4. Step 4: Simplify right side
    173.54x = 39,968.07
  5. Step 5: Solve for x
    x = 39,968.07/173.54
  6. Step 6: Final answer
    x = 230.31

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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.