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Finding the Fourth Proportional to 383.46, 527.84 and 334.25

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Solution

The fourth proportional to 383.46, 527.84 and 334.25 is: 460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.46 : 527.84 = 334.25 : x
  2. Step 2: Convert to fraction form
    383.46/527.84 = 334.25/x
  3. Step 3: Cross multiply
    383.46x = 527.84 × 334.25
  4. Step 4: Simplify right side
    383.46x = 176,428.85
  5. Step 5: Solve for x
    x = 176,428.85/383.46
  6. Step 6: Final answer
    x = 460.10

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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.