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Finding the Fourth Proportional to 407.49, 611.45 and 270.60

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Solution

The fourth proportional to 407.49, 611.45 and 270.60 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.49 : 611.45 = 270.60 : x
  2. Step 2: Convert to fraction form
    407.49/611.45 = 270.60/x
  3. Step 3: Cross multiply
    407.49x = 611.45 × 270.60
  4. Step 4: Simplify right side
    407.49x = 165,455.74
  5. Step 5: Solve for x
    x = 165,455.74/407.49
  6. Step 6: Final answer
    x = 406.04

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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.