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Finding the Fourth Proportional to 282.24, 390.40 and 231.68

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Solution

The fourth proportional to 282.24, 390.40 and 231.68 is: 320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 390.40 = 231.68 : x
  2. Step 2: Convert to fraction form
    282.24/390.40 = 231.68/x
  3. Step 3: Cross multiply
    282.24x = 390.40 × 231.68
  4. Step 4: Simplify right side
    282.24x = 90,447.87
  5. Step 5: Solve for x
    x = 90,447.87/282.24
  6. Step 6: Final answer
    x = 320.46

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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.