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Finding the Fourth Proportional to 384.49, 576.21 and 140.78

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Solution

The fourth proportional to 384.49, 576.21 and 140.78 is: 210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.49 : 576.21 = 140.78 : x
  2. Step 2: Convert to fraction form
    384.49/576.21 = 140.78/x
  3. Step 3: Cross multiply
    384.49x = 576.21 × 140.78
  4. Step 4: Simplify right side
    384.49x = 81,118.84
  5. Step 5: Solve for x
    x = 81,118.84/384.49
  6. Step 6: Final answer
    x = 210.98

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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.