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Finding the Fourth Proportional to 242.14, 334.74 and 231.94

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Solution

The fourth proportional to 242.14, 334.74 and 231.94 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.14 : 334.74 = 231.94 : x
  2. Step 2: Convert to fraction form
    242.14/334.74 = 231.94/x
  3. Step 3: Cross multiply
    242.14x = 334.74 × 231.94
  4. Step 4: Simplify right side
    242.14x = 77,639.60
  5. Step 5: Solve for x
    x = 77,639.60/242.14
  6. Step 6: Final answer
    x = 320.64

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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.