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Finding the Fourth Proportional to 242.85, 334.26 and 180.60

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Solution

The fourth proportional to 242.85, 334.26 and 180.60 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.85 : 334.26 = 180.60 : x
  2. Step 2: Convert to fraction form
    242.85/334.26 = 180.60/x
  3. Step 3: Cross multiply
    242.85x = 334.26 × 180.60
  4. Step 4: Simplify right side
    242.85x = 60,367.36
  5. Step 5: Solve for x
    x = 60,367.36/242.85
  6. Step 6: Final answer
    x = 248.58

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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.