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Finding the Fourth Proportional to 230.76, 317.76 and 205.50

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Solution

The fourth proportional to 230.76, 317.76 and 205.50 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.76 : 317.76 = 205.50 : x
  2. Step 2: Convert to fraction form
    230.76/317.76 = 205.50/x
  3. Step 3: Cross multiply
    230.76x = 317.76 × 205.50
  4. Step 4: Simplify right side
    230.76x = 65,299.68
  5. Step 5: Solve for x
    x = 65,299.68/230.76
  6. Step 6: Final answer
    x = 282.98

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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.