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Finding the Fourth Proportional to 384.72, 576.72 and 189.60

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Solution

The fourth proportional to 384.72, 576.72 and 189.60 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 576.72 = 189.60 : x
  2. Step 2: Convert to fraction form
    384.72/576.72 = 189.60/x
  3. Step 3: Cross multiply
    384.72x = 576.72 × 189.60
  4. Step 4: Simplify right side
    384.72x = 109,346.11
  5. Step 5: Solve for x
    x = 109,346.11/384.72
  6. Step 6: Final answer
    x = 284.22

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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.