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Finding the Fourth Proportional to 130.05, 178.53 and 128.84

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Solution

The fourth proportional to 130.05, 178.53 and 128.84 is: 176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.05 : 178.53 = 128.84 : x
  2. Step 2: Convert to fraction form
    130.05/178.53 = 128.84/x
  3. Step 3: Cross multiply
    130.05x = 178.53 × 128.84
  4. Step 4: Simplify right side
    130.05x = 23,000.43
  5. Step 5: Solve for x
    x = 23,000.43/130.05
  6. Step 6: Final answer
    x = 176.86

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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.