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Finding the Fourth Proportional to 384.94, 527.83 and 380.08

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Solution

The fourth proportional to 384.94, 527.83 and 380.08 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.94 : 527.83 = 380.08 : x
  2. Step 2: Convert to fraction form
    384.94/527.83 = 380.08/x
  3. Step 3: Cross multiply
    384.94x = 527.83 × 380.08
  4. Step 4: Simplify right side
    384.94x = 200,617.63
  5. Step 5: Solve for x
    x = 200,617.63/384.94
  6. Step 6: Final answer
    x = 521.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.