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Finding the Fourth Proportional to 242.77, 334.96 and 137.86

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Solution

The fourth proportional to 242.77, 334.96 and 137.86 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.77 : 334.96 = 137.86 : x
  2. Step 2: Convert to fraction form
    242.77/334.96 = 137.86/x
  3. Step 3: Cross multiply
    242.77x = 334.96 × 137.86
  4. Step 4: Simplify right side
    242.77x = 46,177.59
  5. Step 5: Solve for x
    x = 46,177.59/242.77
  6. Step 6: Final answer
    x = 190.21

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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.