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Finding the Fourth Proportional to 257.43, 383.84 and 220.52

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Solution

The fourth proportional to 257.43, 383.84 and 220.52 is: 328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.43 : 383.84 = 220.52 : x
  2. Step 2: Convert to fraction form
    257.43/383.84 = 220.52/x
  3. Step 3: Cross multiply
    257.43x = 383.84 × 220.52
  4. Step 4: Simplify right side
    257.43x = 84,645.08
  5. Step 5: Solve for x
    x = 84,645.08/257.43
  6. Step 6: Final answer
    x = 328.81

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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.