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Finding the Fourth Proportional to 281.48, 386.41 and 271.76

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Solution

The fourth proportional to 281.48, 386.41 and 271.76 is: 373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 386.41 = 271.76 : x
  2. Step 2: Convert to fraction form
    281.48/386.41 = 271.76/x
  3. Step 3: Cross multiply
    281.48x = 386.41 × 271.76
  4. Step 4: Simplify right side
    281.48x = 105,010.78
  5. Step 5: Solve for x
    x = 105,010.78/281.48
  6. Step 6: Final answer
    x = 373.07

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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.