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Finding the Fourth Proportional to 242.07, 334.03 and 137.15

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Solution

The fourth proportional to 242.07, 334.03 and 137.15 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 334.03 = 137.15 : x
  2. Step 2: Convert to fraction form
    242.07/334.03 = 137.15/x
  3. Step 3: Cross multiply
    242.07x = 334.03 × 137.15
  4. Step 4: Simplify right side
    242.07x = 45,812.21
  5. Step 5: Solve for x
    x = 45,812.21/242.07
  6. Step 6: Final answer
    x = 189.25

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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.