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Finding the Fourth Proportional to 410.05, 613.53 and 227.58

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Solution

The fourth proportional to 410.05, 613.53 and 227.58 is: 340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 613.53 = 227.58 : x
  2. Step 2: Convert to fraction form
    410.05/613.53 = 227.58/x
  3. Step 3: Cross multiply
    410.05x = 613.53 × 227.58
  4. Step 4: Simplify right side
    410.05x = 139,624.86
  5. Step 5: Solve for x
    x = 139,624.86/410.05
  6. Step 6: Final answer
    x = 340.51

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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.