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Finding the Fourth Proportional to 279.71, 386.03 and 174.81

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Solution

The fourth proportional to 279.71, 386.03 and 174.81 is: 241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.71 : 386.03 = 174.81 : x
  2. Step 2: Convert to fraction form
    279.71/386.03 = 174.81/x
  3. Step 3: Cross multiply
    279.71x = 386.03 × 174.81
  4. Step 4: Simplify right side
    279.71x = 67,480.63
  5. Step 5: Solve for x
    x = 67,480.63/279.71
  6. Step 6: Final answer
    x = 241.25

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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.