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Finding the Fourth Proportional to 155.13, 231.60 and 130.83

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Solution

The fourth proportional to 155.13, 231.60 and 130.83 is: 195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.13 : 231.60 = 130.83 : x
  2. Step 2: Convert to fraction form
    155.13/231.60 = 130.83/x
  3. Step 3: Cross multiply
    155.13x = 231.60 × 130.83
  4. Step 4: Simplify right side
    155.13x = 30,300.23
  5. Step 5: Solve for x
    x = 30,300.23/155.13
  6. Step 6: Final answer
    x = 195.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.