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Finding the Fourth Proportional to 379.98, 569.82 and 148.83

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Solution

The fourth proportional to 379.98, 569.82 and 148.83 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.98 : 569.82 = 148.83 : x
  2. Step 2: Convert to fraction form
    379.98/569.82 = 148.83/x
  3. Step 3: Cross multiply
    379.98x = 569.82 × 148.83
  4. Step 4: Simplify right side
    379.98x = 84,806.31
  5. Step 5: Solve for x
    x = 84,806.31/379.98
  6. Step 6: Final answer
    x = 223.19

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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.