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Finding the Fourth Proportional to 282.88, 390.40 and 239.36

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Solution

The fourth proportional to 282.88, 390.40 and 239.36 is: 330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.88 : 390.40 = 239.36 : x
  2. Step 2: Convert to fraction form
    282.88/390.40 = 239.36/x
  3. Step 3: Cross multiply
    282.88x = 390.40 × 239.36
  4. Step 4: Simplify right side
    282.88x = 93,446.14
  5. Step 5: Solve for x
    x = 93,446.14/282.88
  6. Step 6: Final answer
    x = 330.34

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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.