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Finding the Fourth Proportional to 282.88, 390 and 235.50

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Solution

The fourth proportional to 282.88, 390 and 235.50 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 390 = 235.50 : x
  2. Step 2: Convert to fraction form
    282.88/390 = 235.50/x
  3. Step 3: Cross multiply
    282.88x = 390 × 235.50
  4. Step 4: Simplify right side
    282.88x = 91,845
  5. Step 5: Solve for x
    x = 91,845/282.88
  6. Step 6: Final answer
    x = 324.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.