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Finding the Fourth Proportional to 130.32, 178.68 and 120.84

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Solution

The fourth proportional to 130.32, 178.68 and 120.84 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.32 : 178.68 = 120.84 : x
  2. Step 2: Convert to fraction form
    130.32/178.68 = 120.84/x
  3. Step 3: Cross multiply
    130.32x = 178.68 × 120.84
  4. Step 4: Simplify right side
    130.32x = 21,591.69
  5. Step 5: Solve for x
    x = 21,591.69/130.32
  6. Step 6: Final answer
    x = 165.68

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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.