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Finding the Fourth Proportional to 130.77, 181.67 and 129.58

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Solution

The fourth proportional to 130.77, 181.67 and 129.58 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.77 : 181.67 = 129.58 : x
  2. Step 2: Convert to fraction form
    130.77/181.67 = 129.58/x
  3. Step 3: Cross multiply
    130.77x = 181.67 × 129.58
  4. Step 4: Simplify right side
    130.77x = 23,540.34
  5. Step 5: Solve for x
    x = 23,540.34/130.77
  6. Step 6: Final answer
    x = 180.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.