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Finding the Fourth Proportional to 257.04, 385.56 and 213.84

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Solution

The fourth proportional to 257.04, 385.56 and 213.84 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 385.56 = 213.84 : x
  2. Step 2: Convert to fraction form
    257.04/385.56 = 213.84/x
  3. Step 3: Cross multiply
    257.04x = 385.56 × 213.84
  4. Step 4: Simplify right side
    257.04x = 82,448.15
  5. Step 5: Solve for x
    x = 82,448.15/257.04
  6. Step 6: Final answer
    x = 320.76

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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.