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Finding the Fourth Proportional to 456.20, 684.40 and 131.59

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Solution

The fourth proportional to 456.20, 684.40 and 131.59 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.20 : 684.40 = 131.59 : x
  2. Step 2: Convert to fraction form
    456.20/684.40 = 131.59/x
  3. Step 3: Cross multiply
    456.20x = 684.40 × 131.59
  4. Step 4: Simplify right side
    456.20x = 90,060.20
  5. Step 5: Solve for x
    x = 90,060.20/456.20
  6. Step 6: Final answer
    x = 197.41

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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.