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Finding the Fourth Proportional to 242.18, 334.18 and 137.26

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Solution

The fourth proportional to 242.18, 334.18 and 137.26 is: 189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.18 : 334.18 = 137.26 : x
  2. Step 2: Convert to fraction form
    242.18/334.18 = 137.26/x
  3. Step 3: Cross multiply
    242.18x = 334.18 × 137.26
  4. Step 4: Simplify right side
    242.18x = 45,868.86
  5. Step 5: Solve for x
    x = 45,868.86/242.18
  6. Step 6: Final answer
    x = 189.40

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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.