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Finding the Fourth Proportional to 406.65, 561.15 and 365.07

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Solution

The fourth proportional to 406.65, 561.15 and 365.07 is: 503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.65 : 561.15 = 365.07 : x
  2. Step 2: Convert to fraction form
    406.65/561.15 = 365.07/x
  3. Step 3: Cross multiply
    406.65x = 561.15 × 365.07
  4. Step 4: Simplify right side
    406.65x = 204,859.03
  5. Step 5: Solve for x
    x = 204,859.03/406.65
  6. Step 6: Final answer
    x = 503.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.