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Finding the Fourth Proportional to 180.48, 245.76 and 179.84

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Solution

The fourth proportional to 180.48, 245.76 and 179.84 is: 244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 245.76 = 179.84 : x
  2. Step 2: Convert to fraction form
    180.48/245.76 = 179.84/x
  3. Step 3: Cross multiply
    180.48x = 245.76 × 179.84
  4. Step 4: Simplify right side
    180.48x = 44,197.48
  5. Step 5: Solve for x
    x = 44,197.48/180.48
  6. Step 6: Final answer
    x = 244.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.