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Finding the Fourth Proportional to 281.30, 386.10 and 249.51

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Solution

The fourth proportional to 281.30, 386.10 and 249.51 is: 342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.30 : 386.10 = 249.51 : x
  2. Step 2: Convert to fraction form
    281.30/386.10 = 249.51/x
  3. Step 3: Cross multiply
    281.30x = 386.10 × 249.51
  4. Step 4: Simplify right side
    281.30x = 96,335.81
  5. Step 5: Solve for x
    x = 96,335.81/281.30
  6. Step 6: Final answer
    x = 342.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.