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Finding the Fourth Proportional to 257.89, 387.30 and 236.47

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Solution

The fourth proportional to 257.89, 387.30 and 236.47 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.89 : 387.30 = 236.47 : x
  2. Step 2: Convert to fraction form
    257.89/387.30 = 236.47/x
  3. Step 3: Cross multiply
    257.89x = 387.30 × 236.47
  4. Step 4: Simplify right side
    257.89x = 91,584.83
  5. Step 5: Solve for x
    x = 91,584.83/257.89
  6. Step 6: Final answer
    x = 355.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.