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Finding the Fourth Proportional to 282.31, 390.12 and 203.89

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Solution

The fourth proportional to 282.31, 390.12 and 203.89 is: 281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.31 : 390.12 = 203.89 : x
  2. Step 2: Convert to fraction form
    282.31/390.12 = 203.89/x
  3. Step 3: Cross multiply
    282.31x = 390.12 × 203.89
  4. Step 4: Simplify right side
    282.31x = 79,541.57
  5. Step 5: Solve for x
    x = 79,541.57/282.31
  6. Step 6: Final answer
    x = 281.75

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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.