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Finding the Fourth Proportional to 279.52, 417.56 and 201.82

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Solution

The fourth proportional to 279.52, 417.56 and 201.82 is: 301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.52 : 417.56 = 201.82 : x
  2. Step 2: Convert to fraction form
    279.52/417.56 = 201.82/x
  3. Step 3: Cross multiply
    279.52x = 417.56 × 201.82
  4. Step 4: Simplify right side
    279.52x = 84,271.96
  5. Step 5: Solve for x
    x = 84,271.96/279.52
  6. Step 6: Final answer
    x = 301.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.