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Finding the Fourth Proportional to 230.21, 345.32 and 85.89

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Solution

The fourth proportional to 230.21, 345.32 and 85.89 is: 128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.21 : 345.32 = 85.89 : x
  2. Step 2: Convert to fraction form
    230.21/345.32 = 85.89/x
  3. Step 3: Cross multiply
    230.21x = 345.32 × 85.89
  4. Step 4: Simplify right side
    230.21x = 29,659.11
  5. Step 5: Solve for x
    x = 29,659.11/230.21
  6. Step 6: Final answer
    x = 128.84

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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.