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Finding the Fourth Proportional to 242.59, 334.78 and 137.70

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Solution

The fourth proportional to 242.59, 334.78 and 137.70 is: 190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.59 : 334.78 = 137.70 : x
  2. Step 2: Convert to fraction form
    242.59/334.78 = 137.70/x
  3. Step 3: Cross multiply
    242.59x = 334.78 × 137.70
  4. Step 4: Simplify right side
    242.59x = 46,099.21
  5. Step 5: Solve for x
    x = 46,099.21/242.59
  6. Step 6: Final answer
    x = 190.03

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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.