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Finding the Fourth Proportional to 130.76, 179.36 and 114.36

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Solution

The fourth proportional to 130.76, 179.36 and 114.36 is: 156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.76 : 179.36 = 114.36 : x
  2. Step 2: Convert to fraction form
    130.76/179.36 = 114.36/x
  3. Step 3: Cross multiply
    130.76x = 179.36 × 114.36
  4. Step 4: Simplify right side
    130.76x = 20,512.45
  5. Step 5: Solve for x
    x = 20,512.45/130.76
  6. Step 6: Final answer
    x = 156.87

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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.