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Finding the Fourth Proportional to 130.77, 179.19 and 130.57

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Solution

The fourth proportional to 130.77, 179.19 and 130.57 is: 178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.77 : 179.19 = 130.57 : x
  2. Step 2: Convert to fraction form
    130.77/179.19 = 130.57/x
  3. Step 3: Cross multiply
    130.77x = 179.19 × 130.57
  4. Step 4: Simplify right side
    130.77x = 23,396.39
  5. Step 5: Solve for x
    x = 23,396.39/130.77
  6. Step 6: Final answer
    x = 178.91

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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.