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Finding the Fourth Proportional to 411.07, 619.38 and 366.86

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Solution

The fourth proportional to 411.07, 619.38 and 366.86 is: 552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.07 : 619.38 = 366.86 : x
  2. Step 2: Convert to fraction form
    411.07/619.38 = 366.86/x
  3. Step 3: Cross multiply
    411.07x = 619.38 × 366.86
  4. Step 4: Simplify right side
    411.07x = 227,225.75
  5. Step 5: Solve for x
    x = 227,225.75/411.07
  6. Step 6: Final answer
    x = 552.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.