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Finding the Fourth Proportional to 285.72, 427.84 and 230.64

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Solution

The fourth proportional to 285.72, 427.84 and 230.64 is: 345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 427.84 = 230.64 : x
  2. Step 2: Convert to fraction form
    285.72/427.84 = 230.64/x
  3. Step 3: Cross multiply
    285.72x = 427.84 × 230.64
  4. Step 4: Simplify right side
    285.72x = 98,677.02
  5. Step 5: Solve for x
    x = 98,677.02/285.72
  6. Step 6: Final answer
    x = 345.36

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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.