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Finding the Fourth Proportional to 285.87, 428.91 and 123.57

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Solution

The fourth proportional to 285.87, 428.91 and 123.57 is: 185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.87 : 428.91 = 123.57 : x
  2. Step 2: Convert to fraction form
    285.87/428.91 = 123.57/x
  3. Step 3: Cross multiply
    285.87x = 428.91 × 123.57
  4. Step 4: Simplify right side
    285.87x = 53,000.41
  5. Step 5: Solve for x
    x = 53,000.41/285.87
  6. Step 6: Final answer
    x = 185.40

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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.