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Finding the Fourth Proportional to 279.71, 385.88 and 180.11

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Solution

The fourth proportional to 279.71, 385.88 and 180.11 is: 248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.71 : 385.88 = 180.11 : x
  2. Step 2: Convert to fraction form
    279.71/385.88 = 180.11/x
  3. Step 3: Cross multiply
    279.71x = 385.88 × 180.11
  4. Step 4: Simplify right side
    279.71x = 69,498.74
  5. Step 5: Solve for x
    x = 69,498.74/279.71
  6. Step 6: Final answer
    x = 248.46

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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.