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Finding the Fourth Proportional to 384.10, 532.28 and 376.81

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Solution

The fourth proportional to 384.10, 532.28 and 376.81 is: 522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 532.28 = 376.81 : x
  2. Step 2: Convert to fraction form
    384.10/532.28 = 376.81/x
  3. Step 3: Cross multiply
    384.10x = 532.28 × 376.81
  4. Step 4: Simplify right side
    384.10x = 200,568.04
  5. Step 5: Solve for x
    x = 200,568.04/384.10
  6. Step 6: Final answer
    x = 522.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.