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Finding the Fourth Proportional to 410.05, 613.99 and 288.37

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Solution

The fourth proportional to 410.05, 613.99 and 288.37 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 613.99 = 288.37 : x
  2. Step 2: Convert to fraction form
    410.05/613.99 = 288.37/x
  3. Step 3: Cross multiply
    410.05x = 613.99 × 288.37
  4. Step 4: Simplify right side
    410.05x = 177,056.30
  5. Step 5: Solve for x
    x = 177,056.30/410.05
  6. Step 6: Final answer
    x = 431.79

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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.