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Finding the Fourth Proportional to 257.11, 384.82 and 188.61

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Solution

The fourth proportional to 257.11, 384.82 and 188.61 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.11 : 384.82 = 188.61 : x
  2. Step 2: Convert to fraction form
    257.11/384.82 = 188.61/x
  3. Step 3: Cross multiply
    257.11x = 384.82 × 188.61
  4. Step 4: Simplify right side
    257.11x = 72,579.96
  5. Step 5: Solve for x
    x = 72,579.96/257.11
  6. Step 6: Final answer
    x = 282.30

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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.