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Finding the Fourth Proportional to 281.72, 386.29 and 253.98

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Solution

The fourth proportional to 281.72, 386.29 and 253.98 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.72 : 386.29 = 253.98 : x
  2. Step 2: Convert to fraction form
    281.72/386.29 = 253.98/x
  3. Step 3: Cross multiply
    281.72x = 386.29 × 253.98
  4. Step 4: Simplify right side
    281.72x = 98,110.25
  5. Step 5: Solve for x
    x = 98,110.25/281.72
  6. Step 6: Final answer
    x = 348.25

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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.