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Finding the Fourth Proportional to 384.25, 576.01 and 140.65

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Solution

The fourth proportional to 384.25, 576.01 and 140.65 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.25 : 576.01 = 140.65 : x
  2. Step 2: Convert to fraction form
    384.25/576.01 = 140.65/x
  3. Step 3: Cross multiply
    384.25x = 576.01 × 140.65
  4. Step 4: Simplify right side
    384.25x = 81,015.81
  5. Step 5: Solve for x
    x = 81,015.81/384.25
  6. Step 6: Final answer
    x = 210.84

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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.