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Finding the Fourth Proportional to 382.84, 527.43 and 317.14

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Solution

The fourth proportional to 382.84, 527.43 and 317.14 is: 436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 527.43 = 317.14 : x
  2. Step 2: Convert to fraction form
    382.84/527.43 = 317.14/x
  3. Step 3: Cross multiply
    382.84x = 527.43 × 317.14
  4. Step 4: Simplify right side
    382.84x = 167,269.15
  5. Step 5: Solve for x
    x = 167,269.15/382.84
  6. Step 6: Final answer
    x = 436.92

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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.