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Finding the Fourth Proportional to 130.50, 179.86 and 118.12

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Solution

The fourth proportional to 130.50, 179.86 and 118.12 is: 162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 179.86 = 118.12 : x
  2. Step 2: Convert to fraction form
    130.50/179.86 = 118.12/x
  3. Step 3: Cross multiply
    130.50x = 179.86 × 118.12
  4. Step 4: Simplify right side
    130.50x = 21,244.47
  5. Step 5: Solve for x
    x = 21,244.47/130.50
  6. Step 6: Final answer
    x = 162.80

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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.