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Finding the Fourth Proportional to 258.36, 385.49 and 232.50

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Solution

The fourth proportional to 258.36, 385.49 and 232.50 is: 346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.36 : 385.49 = 232.50 : x
  2. Step 2: Convert to fraction form
    258.36/385.49 = 232.50/x
  3. Step 3: Cross multiply
    258.36x = 385.49 × 232.50
  4. Step 4: Simplify right side
    258.36x = 89,628.45
  5. Step 5: Solve for x
    x = 89,628.45/258.36
  6. Step 6: Final answer
    x = 346.92

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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.