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Finding the Fourth Proportional to 279.78, 385.25 and 230.57

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Solution

The fourth proportional to 279.78, 385.25 and 230.57 is: 317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.78 : 385.25 = 230.57 : x
  2. Step 2: Convert to fraction form
    279.78/385.25 = 230.57/x
  3. Step 3: Cross multiply
    279.78x = 385.25 × 230.57
  4. Step 4: Simplify right side
    279.78x = 88,827.09
  5. Step 5: Solve for x
    x = 88,827.09/279.78
  6. Step 6: Final answer
    x = 317.49

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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.