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Finding the Fourth Proportional to 384.40, 576.24 and 140.75

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Solution

The fourth proportional to 384.40, 576.24 and 140.75 is: 210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.40 : 576.24 = 140.75 : x
  2. Step 2: Convert to fraction form
    384.40/576.24 = 140.75/x
  3. Step 3: Cross multiply
    384.40x = 576.24 × 140.75
  4. Step 4: Simplify right side
    384.40x = 81,105.78
  5. Step 5: Solve for x
    x = 81,105.78/384.40
  6. Step 6: Final answer
    x = 210.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.