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Finding the Fourth Proportional to 257.24, 385.36 and 213.77

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Solution

The fourth proportional to 257.24, 385.36 and 213.77 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 385.36 = 213.77 : x
  2. Step 2: Convert to fraction form
    257.24/385.36 = 213.77/x
  3. Step 3: Cross multiply
    257.24x = 385.36 × 213.77
  4. Step 4: Simplify right side
    257.24x = 82,378.84
  5. Step 5: Solve for x
    x = 82,378.84/257.24
  6. Step 6: Final answer
    x = 320.24

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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.