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Finding the Fourth Proportional to 173.85, 260.31 and 162.51

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Solution

The fourth proportional to 173.85, 260.31 and 162.51 is: 243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.85 : 260.31 = 162.51 : x
  2. Step 2: Convert to fraction form
    173.85/260.31 = 162.51/x
  3. Step 3: Cross multiply
    173.85x = 260.31 × 162.51
  4. Step 4: Simplify right side
    173.85x = 42,302.98
  5. Step 5: Solve for x
    x = 42,302.98/173.85
  6. Step 6: Final answer
    x = 243.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.