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Finding the Fourth Proportional to 242.71, 334.94 and 137.80

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Solution

The fourth proportional to 242.71, 334.94 and 137.80 is: 190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.71 : 334.94 = 137.80 : x
  2. Step 2: Convert to fraction form
    242.71/334.94 = 137.80/x
  3. Step 3: Cross multiply
    242.71x = 334.94 × 137.80
  4. Step 4: Simplify right side
    242.71x = 46,154.04
  5. Step 5: Solve for x
    x = 46,154.04/242.71
  6. Step 6: Final answer
    x = 190.16

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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.