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Finding the Fourth Proportional to 384.12, 576.14 and 140.63

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Solution

The fourth proportional to 384.12, 576.14 and 140.63 is: 210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 576.14 = 140.63 : x
  2. Step 2: Convert to fraction form
    384.12/576.14 = 140.63/x
  3. Step 3: Cross multiply
    384.12x = 576.14 × 140.63
  4. Step 4: Simplify right side
    384.12x = 81,018.98
  5. Step 5: Solve for x
    x = 81,018.98/384.12
  6. Step 6: Final answer
    x = 210.92

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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.