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Finding the Fourth Proportional to 379.80, 569.58 and 105.83

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Solution

The fourth proportional to 379.80, 569.58 and 105.83 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 569.58 = 105.83 : x
  2. Step 2: Convert to fraction form
    379.80/569.58 = 105.83/x
  3. Step 3: Cross multiply
    379.80x = 569.58 × 105.83
  4. Step 4: Simplify right side
    379.80x = 60,275.80
  5. Step 5: Solve for x
    x = 60,275.80/379.80
  6. Step 6: Final answer
    x = 158.70

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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.