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Finding the Fourth Proportional to 279.45, 417.35 and 220.52

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Solution

The fourth proportional to 279.45, 417.35 and 220.52 is: 329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 417.35 = 220.52 : x
  2. Step 2: Convert to fraction form
    279.45/417.35 = 220.52/x
  3. Step 3: Cross multiply
    279.45x = 417.35 × 220.52
  4. Step 4: Simplify right side
    279.45x = 92,035.62
  5. Step 5: Solve for x
    x = 92,035.62/279.45
  6. Step 6: Final answer
    x = 329.35

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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.