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Finding the Fourth Proportional to 380.32, 570.52 and 136.87

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Solution

The fourth proportional to 380.32, 570.52 and 136.87 is: 205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 570.52 = 136.87 : x
  2. Step 2: Convert to fraction form
    380.32/570.52 = 136.87/x
  3. Step 3: Cross multiply
    380.32x = 570.52 × 136.87
  4. Step 4: Simplify right side
    380.32x = 78,084.22
  5. Step 5: Solve for x
    x = 78,084.22/380.32
  6. Step 6: Final answer
    x = 205.31

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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.