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Finding the Fourth Proportional to 242.24, 334.29 and 131.71

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Solution

The fourth proportional to 242.24, 334.29 and 131.71 is: 181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.24 : 334.29 = 131.71 : x
  2. Step 2: Convert to fraction form
    242.24/334.29 = 131.71/x
  3. Step 3: Cross multiply
    242.24x = 334.29 × 131.71
  4. Step 4: Simplify right side
    242.24x = 44,028.88
  5. Step 5: Solve for x
    x = 44,028.88/242.24
  6. Step 6: Final answer
    x = 181.76

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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.