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Finding the Fourth Proportional to 405.08, 556.95 and 360.39

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Solution

The fourth proportional to 405.08, 556.95 and 360.39 is: 495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.08 : 556.95 = 360.39 : x
  2. Step 2: Convert to fraction form
    405.08/556.95 = 360.39/x
  3. Step 3: Cross multiply
    405.08x = 556.95 × 360.39
  4. Step 4: Simplify right side
    405.08x = 200,722.65
  5. Step 5: Solve for x
    x = 200,722.65/405.08
  6. Step 6: Final answer
    x = 495.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.