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Finding the Fourth Proportional to 230.82, 317.84 and 175.34

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Solution

The fourth proportional to 230.82, 317.84 and 175.34 is: 241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 317.84 = 175.34 : x
  2. Step 2: Convert to fraction form
    230.82/317.84 = 175.34/x
  3. Step 3: Cross multiply
    230.82x = 317.84 × 175.34
  4. Step 4: Simplify right side
    230.82x = 55,730.07
  5. Step 5: Solve for x
    x = 55,730.07/230.82
  6. Step 6: Final answer
    x = 241.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.