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Finding the Fourth Proportional to 256.93, 352.10 and 232.33

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Solution

The fourth proportional to 256.93, 352.10 and 232.33 is: 318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.93 : 352.10 = 232.33 : x
  2. Step 2: Convert to fraction form
    256.93/352.10 = 232.33/x
  3. Step 3: Cross multiply
    256.93x = 352.10 × 232.33
  4. Step 4: Simplify right side
    256.93x = 81,803.39
  5. Step 5: Solve for x
    x = 81,803.39/256.93
  6. Step 6: Final answer
    x = 318.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.