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Finding the Fourth Proportional to 279.42, 385.70 and 186.23

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Solution

The fourth proportional to 279.42, 385.70 and 186.23 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 385.70 = 186.23 : x
  2. Step 2: Convert to fraction form
    279.42/385.70 = 186.23/x
  3. Step 3: Cross multiply
    279.42x = 385.70 × 186.23
  4. Step 4: Simplify right side
    279.42x = 71,828.91
  5. Step 5: Solve for x
    x = 71,828.91/279.42
  6. Step 6: Final answer
    x = 257.06

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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.