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Finding the Fourth Proportional to 406.06, 556.75 and 385.18

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Solution

The fourth proportional to 406.06, 556.75 and 385.18 is: 528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 556.75 = 385.18 : x
  2. Step 2: Convert to fraction form
    406.06/556.75 = 385.18/x
  3. Step 3: Cross multiply
    406.06x = 556.75 × 385.18
  4. Step 4: Simplify right side
    406.06x = 214,448.97
  5. Step 5: Solve for x
    x = 214,448.97/406.06
  6. Step 6: Final answer
    x = 528.12

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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.