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Finding the Fourth Proportional to 380.68, 570.93 and 106.78

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Solution

The fourth proportional to 380.68, 570.93 and 106.78 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 570.93 = 106.78 : x
  2. Step 2: Convert to fraction form
    380.68/570.93 = 106.78/x
  3. Step 3: Cross multiply
    380.68x = 570.93 × 106.78
  4. Step 4: Simplify right side
    380.68x = 60,963.91
  5. Step 5: Solve for x
    x = 60,963.91/380.68
  6. Step 6: Final answer
    x = 160.14

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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.