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Finding the Fourth Proportional to 285.44, 427.48 and 230.76

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Solution

The fourth proportional to 285.44, 427.48 and 230.76 is: 345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.44 : 427.48 = 230.76 : x
  2. Step 2: Convert to fraction form
    285.44/427.48 = 230.76/x
  3. Step 3: Cross multiply
    285.44x = 427.48 × 230.76
  4. Step 4: Simplify right side
    285.44x = 98,645.28
  5. Step 5: Solve for x
    x = 98,645.28/285.44
  6. Step 6: Final answer
    x = 345.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.