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Finding the Fourth Proportional to 182.55, 251.98 and 107.89

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Solution

The fourth proportional to 182.55, 251.98 and 107.89 is: 148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.55 : 251.98 = 107.89 : x
  2. Step 2: Convert to fraction form
    182.55/251.98 = 107.89/x
  3. Step 3: Cross multiply
    182.55x = 251.98 × 107.89
  4. Step 4: Simplify right side
    182.55x = 27,186.12
  5. Step 5: Solve for x
    x = 27,186.12/182.55
  6. Step 6: Final answer
    x = 148.92

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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.