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Finding the Fourth Proportional to 410.95, 619.19 and 366.74

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Solution

The fourth proportional to 410.95, 619.19 and 366.74 is: 552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.95 : 619.19 = 366.74 : x
  2. Step 2: Convert to fraction form
    410.95/619.19 = 366.74/x
  3. Step 3: Cross multiply
    410.95x = 619.19 × 366.74
  4. Step 4: Simplify right side
    410.95x = 227,081.74
  5. Step 5: Solve for x
    x = 227,081.74/410.95
  6. Step 6: Final answer
    x = 552.58

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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.