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Finding the Fourth Proportional to 257.48, 387.62 and 234.80

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Solution

The fourth proportional to 257.48, 387.62 and 234.80 is: 353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 387.62 = 234.80 : x
  2. Step 2: Convert to fraction form
    257.48/387.62 = 234.80/x
  3. Step 3: Cross multiply
    257.48x = 387.62 × 234.80
  4. Step 4: Simplify right side
    257.48x = 91,010.06
  5. Step 5: Solve for x
    x = 91,010.06/257.48
  6. Step 6: Final answer
    x = 353.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.