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Finding the Fourth Proportional to 285.58, 428.67 and 232.12

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Solution

The fourth proportional to 285.58, 428.67 and 232.12 is: 348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.58 : 428.67 = 232.12 : x
  2. Step 2: Convert to fraction form
    285.58/428.67 = 232.12/x
  3. Step 3: Cross multiply
    285.58x = 428.67 × 232.12
  4. Step 4: Simplify right side
    285.58x = 99,501.81
  5. Step 5: Solve for x
    x = 99,501.81/285.58
  6. Step 6: Final answer
    x = 348.42

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Why These Related Problems?

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