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Finding the Fourth Proportional to 406.16, 559.56 and 386.96

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Solution

The fourth proportional to 406.16, 559.56 and 386.96 is: 533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.16 : 559.56 = 386.96 : x
  2. Step 2: Convert to fraction form
    406.16/559.56 = 386.96/x
  3. Step 3: Cross multiply
    406.16x = 559.56 × 386.96
  4. Step 4: Simplify right side
    406.16x = 216,527.34
  5. Step 5: Solve for x
    x = 216,527.34/406.16
  6. Step 6: Final answer
    x = 533.11

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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.