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Finding the Fourth Proportional to 257, 384.86 and 200.89

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Solution

The fourth proportional to 257, 384.86 and 200.89 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 384.86 = 200.89 : x
  2. Step 2: Convert to fraction form
    257/384.86 = 200.89/x
  3. Step 3: Cross multiply
    257x = 384.86 × 200.89
  4. Step 4: Simplify right side
    257x = 77,314.53
  5. Step 5: Solve for x
    x = 77,314.53/257
  6. Step 6: Final answer
    x = 300.83

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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.