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Finding the Fourth Proportional to 257.50, 384.89 and 211.60

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Solution

The fourth proportional to 257.50, 384.89 and 211.60 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 384.89 = 211.60 : x
  2. Step 2: Convert to fraction form
    257.50/384.89 = 211.60/x
  3. Step 3: Cross multiply
    257.50x = 384.89 × 211.60
  4. Step 4: Simplify right side
    257.50x = 81,442.72
  5. Step 5: Solve for x
    x = 81,442.72/257.50
  6. Step 6: Final answer
    x = 316.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.