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Finding the Fourth Proportional to 407.57, 611.36 and 119.03

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Solution

The fourth proportional to 407.57, 611.36 and 119.03 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.57 : 611.36 = 119.03 : x
  2. Step 2: Convert to fraction form
    407.57/611.36 = 119.03/x
  3. Step 3: Cross multiply
    407.57x = 611.36 × 119.03
  4. Step 4: Simplify right side
    407.57x = 72,769.59
  5. Step 5: Solve for x
    x = 72,769.59/407.57
  6. Step 6: Final answer
    x = 178.55

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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.