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Finding the Fourth Proportional to 380.34, 570.51 and 120.31

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Solution

The fourth proportional to 380.34, 570.51 and 120.31 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 570.51 = 120.31 : x
  2. Step 2: Convert to fraction form
    380.34/570.51 = 120.31/x
  3. Step 3: Cross multiply
    380.34x = 570.51 × 120.31
  4. Step 4: Simplify right side
    380.34x = 68,636.63
  5. Step 5: Solve for x
    x = 68,636.63/380.34
  6. Step 6: Final answer
    x = 180.46

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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.