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Finding the Fourth Proportional to 331.71, 457.34 and 242.91

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Solution

The fourth proportional to 331.71, 457.34 and 242.91 is: 334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.71 : 457.34 = 242.91 : x
  2. Step 2: Convert to fraction form
    331.71/457.34 = 242.91/x
  3. Step 3: Cross multiply
    331.71x = 457.34 × 242.91
  4. Step 4: Simplify right side
    331.71x = 111,091.24
  5. Step 5: Solve for x
    x = 111,091.24/331.71
  6. Step 6: Final answer
    x = 334.90

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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.