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Finding the Fourth Proportional to 257.56, 384.32 and 213.84

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Solution

The fourth proportional to 257.56, 384.32 and 213.84 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.56 : 384.32 = 213.84 : x
  2. Step 2: Convert to fraction form
    257.56/384.32 = 213.84/x
  3. Step 3: Cross multiply
    257.56x = 384.32 × 213.84
  4. Step 4: Simplify right side
    257.56x = 82,182.99
  5. Step 5: Solve for x
    x = 82,182.99/257.56
  6. Step 6: Final answer
    x = 319.08

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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.