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Finding the Fourth Proportional to 257.72, 384.77 and 216.71

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Solution

The fourth proportional to 257.72, 384.77 and 216.71 is: 323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.72 : 384.77 = 216.71 : x
  2. Step 2: Convert to fraction form
    257.72/384.77 = 216.71/x
  3. Step 3: Cross multiply
    257.72x = 384.77 × 216.71
  4. Step 4: Simplify right side
    257.72x = 83,383.51
  5. Step 5: Solve for x
    x = 83,383.51/257.72
  6. Step 6: Final answer
    x = 323.54

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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.