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Finding the Fourth Proportional to 230.50, 317.82 and 164.89

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Solution

The fourth proportional to 230.50, 317.82 and 164.89 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 317.82 = 164.89 : x
  2. Step 2: Convert to fraction form
    230.50/317.82 = 164.89/x
  3. Step 3: Cross multiply
    230.50x = 317.82 × 164.89
  4. Step 4: Simplify right side
    230.50x = 52,405.34
  5. Step 5: Solve for x
    x = 52,405.34/230.50
  6. Step 6: Final answer
    x = 227.36

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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.