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Finding the Fourth Proportional to 380.52, 570.72 and 106.65

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Solution

The fourth proportional to 380.52, 570.72 and 106.65 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 570.72 = 106.65 : x
  2. Step 2: Convert to fraction form
    380.52/570.72 = 106.65/x
  3. Step 3: Cross multiply
    380.52x = 570.72 × 106.65
  4. Step 4: Simplify right side
    380.52x = 60,867.29
  5. Step 5: Solve for x
    x = 60,867.29/380.52
  6. Step 6: Final answer
    x = 159.96

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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.