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Finding the Fourth Proportional to 257.31, 383.27 and 254.30

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Solution

The fourth proportional to 257.31, 383.27 and 254.30 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.31 : 383.27 = 254.30 : x
  2. Step 2: Convert to fraction form
    257.31/383.27 = 254.30/x
  3. Step 3: Cross multiply
    257.31x = 383.27 × 254.30
  4. Step 4: Simplify right side
    257.31x = 97,462.37
  5. Step 5: Solve for x
    x = 97,462.37/257.31
  6. Step 6: Final answer
    x = 378.77

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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.