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Finding the Fourth Proportional to 130.42, 179.72 and 97.60

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Solution

The fourth proportional to 130.42, 179.72 and 97.60 is: 134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.42 : 179.72 = 97.60 : x
  2. Step 2: Convert to fraction form
    130.42/179.72 = 97.60/x
  3. Step 3: Cross multiply
    130.42x = 179.72 × 97.60
  4. Step 4: Simplify right side
    130.42x = 17,540.67
  5. Step 5: Solve for x
    x = 17,540.67/130.42
  6. Step 6: Final answer
    x = 134.49

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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.