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Finding the Fourth Proportional to 384.10, 576 and 152.92

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Solution

The fourth proportional to 384.10, 576 and 152.92 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 576 = 152.92 : x
  2. Step 2: Convert to fraction form
    384.10/576 = 152.92/x
  3. Step 3: Cross multiply
    384.10x = 576 × 152.92
  4. Step 4: Simplify right side
    384.10x = 88,081.92
  5. Step 5: Solve for x
    x = 88,081.92/384.10
  6. Step 6: Final answer
    x = 229.32

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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.