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Finding the Fourth Proportional to 279.62, 417.14 and 245.42

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Solution

The fourth proportional to 279.62, 417.14 and 245.42 is: 366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.62 : 417.14 = 245.42 : x
  2. Step 2: Convert to fraction form
    279.62/417.14 = 245.42/x
  3. Step 3: Cross multiply
    279.62x = 417.14 × 245.42
  4. Step 4: Simplify right side
    279.62x = 102,374.50
  5. Step 5: Solve for x
    x = 102,374.50/279.62
  6. Step 6: Final answer
    x = 366.12

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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.