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Finding the Fourth Proportional to 384.97, 580.28 and 352.11

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Solution

The fourth proportional to 384.97, 580.28 and 352.11 is: 530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.97 : 580.28 = 352.11 : x
  2. Step 2: Convert to fraction form
    384.97/580.28 = 352.11/x
  3. Step 3: Cross multiply
    384.97x = 580.28 × 352.11
  4. Step 4: Simplify right side
    384.97x = 204,322.39
  5. Step 5: Solve for x
    x = 204,322.39/384.97
  6. Step 6: Final answer
    x = 530.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.