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Finding the Fourth Proportional to 409.66, 611.15 and 365.58

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Solution

The fourth proportional to 409.66, 611.15 and 365.58 is: 545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.66 : 611.15 = 365.58 : x
  2. Step 2: Convert to fraction form
    409.66/611.15 = 365.58/x
  3. Step 3: Cross multiply
    409.66x = 611.15 × 365.58
  4. Step 4: Simplify right side
    409.66x = 223,422.39
  5. Step 5: Solve for x
    x = 223,422.39/409.66
  6. Step 6: Final answer
    x = 545.39

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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.