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Finding the Fourth Proportional to 230.82, 345.87 and 172.77

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Solution

The fourth proportional to 230.82, 345.87 and 172.77 is: 258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 345.87 = 172.77 : x
  2. Step 2: Convert to fraction form
    230.82/345.87 = 172.77/x
  3. Step 3: Cross multiply
    230.82x = 345.87 × 172.77
  4. Step 4: Simplify right side
    230.82x = 59,755.96
  5. Step 5: Solve for x
    x = 59,755.96/230.82
  6. Step 6: Final answer
    x = 258.89

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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.