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Finding the Fourth Proportional to 173.32, 258.69 and 157.24

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Solution

The fourth proportional to 173.32, 258.69 and 157.24 is: 234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.32 : 258.69 = 157.24 : x
  2. Step 2: Convert to fraction form
    173.32/258.69 = 157.24/x
  3. Step 3: Cross multiply
    173.32x = 258.69 × 157.24
  4. Step 4: Simplify right side
    173.32x = 40,676.42
  5. Step 5: Solve for x
    x = 40,676.42/173.32
  6. Step 6: Final answer
    x = 234.69

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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.