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Finding the Fourth Proportional to 257.57, 384.05 and 254.37

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Solution

The fourth proportional to 257.57, 384.05 and 254.37 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.57 : 384.05 = 254.37 : x
  2. Step 2: Convert to fraction form
    257.57/384.05 = 254.37/x
  3. Step 3: Cross multiply
    257.57x = 384.05 × 254.37
  4. Step 4: Simplify right side
    257.57x = 97,689.53
  5. Step 5: Solve for x
    x = 97,689.53/257.57
  6. Step 6: Final answer
    x = 379.28

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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.