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Finding the Fourth Proportional to 242.37, 334.49 and 142.86

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Solution

The fourth proportional to 242.37, 334.49 and 142.86 is: 197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 334.49 = 142.86 : x
  2. Step 2: Convert to fraction form
    242.37/334.49 = 142.86/x
  3. Step 3: Cross multiply
    242.37x = 334.49 × 142.86
  4. Step 4: Simplify right side
    242.37x = 47,785.78
  5. Step 5: Solve for x
    x = 47,785.78/242.37
  6. Step 6: Final answer
    x = 197.16

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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.