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Finding the Fourth Proportional to 130.29, 180.73 and 123.37

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Solution

The fourth proportional to 130.29, 180.73 and 123.37 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.29 : 180.73 = 123.37 : x
  2. Step 2: Convert to fraction form
    130.29/180.73 = 123.37/x
  3. Step 3: Cross multiply
    130.29x = 180.73 × 123.37
  4. Step 4: Simplify right side
    130.29x = 22,295.90
  5. Step 5: Solve for x
    x = 22,295.90/130.29
  6. Step 6: Final answer
    x = 171.13

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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.