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Finding the Fourth Proportional to 131.40, 179.98 and 131.04

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Solution

The fourth proportional to 131.40, 179.98 and 131.04 is: 179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.40 : 179.98 = 131.04 : x
  2. Step 2: Convert to fraction form
    131.40/179.98 = 131.04/x
  3. Step 3: Cross multiply
    131.40x = 179.98 × 131.04
  4. Step 4: Simplify right side
    131.40x = 23,584.58
  5. Step 5: Solve for x
    x = 23,584.58/131.40
  6. Step 6: Final answer
    x = 179.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.