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Finding the Fourth Proportional to 406.42, 609.50 and 270.18

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Solution

The fourth proportional to 406.42, 609.50 and 270.18 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 609.50 = 270.18 : x
  2. Step 2: Convert to fraction form
    406.42/609.50 = 270.18/x
  3. Step 3: Cross multiply
    406.42x = 609.50 × 270.18
  4. Step 4: Simplify right side
    406.42x = 164,675.39
  5. Step 5: Solve for x
    x = 164,675.39/406.42
  6. Step 6: Final answer
    x = 405.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.