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Finding the Fourth Proportional to 257.45, 385.64 and 214.01

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Solution

The fourth proportional to 257.45, 385.64 and 214.01 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.45 : 385.64 = 214.01 : x
  2. Step 2: Convert to fraction form
    257.45/385.64 = 214.01/x
  3. Step 3: Cross multiply
    257.45x = 385.64 × 214.01
  4. Step 4: Simplify right side
    257.45x = 82,527.82
  5. Step 5: Solve for x
    x = 82,527.82/257.45
  6. Step 6: Final answer
    x = 320.56

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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.