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Finding the Fourth Proportional to 173.37, 258.66 and 157.68

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Solution

The fourth proportional to 173.37, 258.66 and 157.68 is: 235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.37 : 258.66 = 157.68 : x
  2. Step 2: Convert to fraction form
    173.37/258.66 = 157.68/x
  3. Step 3: Cross multiply
    173.37x = 258.66 × 157.68
  4. Step 4: Simplify right side
    173.37x = 40,785.51
  5. Step 5: Solve for x
    x = 40,785.51/173.37
  6. Step 6: Final answer
    x = 235.25

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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.