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Finding the Fourth Proportional to 409.62, 611.28 and 365.82

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Solution

The fourth proportional to 409.62, 611.28 and 365.82 is: 545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.62 : 611.28 = 365.82 : x
  2. Step 2: Convert to fraction form
    409.62/611.28 = 365.82/x
  3. Step 3: Cross multiply
    409.62x = 611.28 × 365.82
  4. Step 4: Simplify right side
    409.62x = 223,618.45
  5. Step 5: Solve for x
    x = 223,618.45/409.62
  6. Step 6: Final answer
    x = 545.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.