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Finding the Fourth Proportional to 282.47, 389.57 and 233.28

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Solution

The fourth proportional to 282.47, 389.57 and 233.28 is: 321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.47 : 389.57 = 233.28 : x
  2. Step 2: Convert to fraction form
    282.47/389.57 = 233.28/x
  3. Step 3: Cross multiply
    282.47x = 389.57 × 233.28
  4. Step 4: Simplify right side
    282.47x = 90,877.72
  5. Step 5: Solve for x
    x = 90,877.72/282.47
  6. Step 6: Final answer
    x = 321.73

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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.