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Finding the Fourth Proportional to 132.70, 182.88 and 130.36

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Solution

The fourth proportional to 132.70, 182.88 and 130.36 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.70 : 182.88 = 130.36 : x
  2. Step 2: Convert to fraction form
    132.70/182.88 = 130.36/x
  3. Step 3: Cross multiply
    132.70x = 182.88 × 130.36
  4. Step 4: Simplify right side
    132.70x = 23,840.24
  5. Step 5: Solve for x
    x = 23,840.24/132.70
  6. Step 6: Final answer
    x = 179.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.