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Finding the Fourth Proportional to 130.88, 180.64 and 79.12

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Solution

The fourth proportional to 130.88, 180.64 and 79.12 is: 109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 180.64 = 79.12 : x
  2. Step 2: Convert to fraction form
    130.88/180.64 = 79.12/x
  3. Step 3: Cross multiply
    130.88x = 180.64 × 79.12
  4. Step 4: Simplify right side
    130.88x = 14,292.24
  5. Step 5: Solve for x
    x = 14,292.24/130.88
  6. Step 6: Final answer
    x = 109.20

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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.