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Finding the Fourth Proportional to 257.07, 382.62 and 251.40

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Solution

The fourth proportional to 257.07, 382.62 and 251.40 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.07 : 382.62 = 251.40 : x
  2. Step 2: Convert to fraction form
    257.07/382.62 = 251.40/x
  3. Step 3: Cross multiply
    257.07x = 382.62 × 251.40
  4. Step 4: Simplify right side
    257.07x = 96,190.67
  5. Step 5: Solve for x
    x = 96,190.67/257.07
  6. Step 6: Final answer
    x = 374.18

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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.