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Finding the Fourth Proportional to 183.10, 275.87 and 158.80

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Solution

The fourth proportional to 183.10, 275.87 and 158.80 is: 239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.10 : 275.87 = 158.80 : x
  2. Step 2: Convert to fraction form
    183.10/275.87 = 158.80/x
  3. Step 3: Cross multiply
    183.10x = 275.87 × 158.80
  4. Step 4: Simplify right side
    183.10x = 43,808.16
  5. Step 5: Solve for x
    x = 43,808.16/183.10
  6. Step 6: Final answer
    x = 239.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.