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Finding the Fourth Proportional to 155.24, 213.20 and 130.64

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Solution

The fourth proportional to 155.24, 213.20 and 130.64 is: 179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.24 : 213.20 = 130.64 : x
  2. Step 2: Convert to fraction form
    155.24/213.20 = 130.64/x
  3. Step 3: Cross multiply
    155.24x = 213.20 × 130.64
  4. Step 4: Simplify right side
    155.24x = 27,852.45
  5. Step 5: Solve for x
    x = 27,852.45/155.24
  6. Step 6: Final answer
    x = 179.42

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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.