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Finding the Fourth Proportional to 130.22, 180.08 and 117.08

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Solution

The fourth proportional to 130.22, 180.08 and 117.08 is: 161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.22 : 180.08 = 117.08 : x
  2. Step 2: Convert to fraction form
    130.22/180.08 = 117.08/x
  3. Step 3: Cross multiply
    130.22x = 180.08 × 117.08
  4. Step 4: Simplify right side
    130.22x = 21,083.18
  5. Step 5: Solve for x
    x = 21,083.18/130.22
  6. Step 6: Final answer
    x = 161.90

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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.