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Finding the Fourth Proportional to 410.00, 613.85 and 279.72

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Solution

The fourth proportional to 410.00, 613.85 and 279.72 is: 418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 613.85 = 279.72 : x
  2. Step 2: Convert to fraction form
    410.00/613.85 = 279.72/x
  3. Step 3: Cross multiply
    410.00x = 613.85 × 279.72
  4. Step 4: Simplify right side
    410.00x = 171,704.72
  5. Step 5: Solve for x
    x = 171,704.72/410.00
  6. Step 6: Final answer
    x = 418.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.