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Finding the Fourth Proportional to 130.25, 180.08 and 121.07

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Solution

The fourth proportional to 130.25, 180.08 and 121.07 is: 167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 180.08 = 121.07 : x
  2. Step 2: Convert to fraction form
    130.25/180.08 = 121.07/x
  3. Step 3: Cross multiply
    130.25x = 180.08 × 121.07
  4. Step 4: Simplify right side
    130.25x = 21,800.78
  5. Step 5: Solve for x
    x = 21,800.78/130.25
  6. Step 6: Final answer
    x = 167.38

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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.