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Finding the Fourth Proportional to 242.37, 334.37 and 180.21

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Solution

The fourth proportional to 242.37, 334.37 and 180.21 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 334.37 = 180.21 : x
  2. Step 2: Convert to fraction form
    242.37/334.37 = 180.21/x
  3. Step 3: Cross multiply
    242.37x = 334.37 × 180.21
  4. Step 4: Simplify right side
    242.37x = 60,255.92
  5. Step 5: Solve for x
    x = 60,255.92/242.37
  6. Step 6: Final answer
    x = 248.61

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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.