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Finding the Fourth Proportional to 130.58, 179.87 and 122.07

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Solution

The fourth proportional to 130.58, 179.87 and 122.07 is: 168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.58 : 179.87 = 122.07 : x
  2. Step 2: Convert to fraction form
    130.58/179.87 = 122.07/x
  3. Step 3: Cross multiply
    130.58x = 179.87 × 122.07
  4. Step 4: Simplify right side
    130.58x = 21,957.48
  5. Step 5: Solve for x
    x = 21,957.48/130.58
  6. Step 6: Final answer
    x = 168.16

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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.