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Finding the Fourth Proportional to 379.98, 524.86 and 269.82

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Solution

The fourth proportional to 379.98, 524.86 and 269.82 is: 372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.98 : 524.86 = 269.82 : x
  2. Step 2: Convert to fraction form
    379.98/524.86 = 269.82/x
  3. Step 3: Cross multiply
    379.98x = 524.86 × 269.82
  4. Step 4: Simplify right side
    379.98x = 141,617.73
  5. Step 5: Solve for x
    x = 141,617.73/379.98
  6. Step 6: Final answer
    x = 372.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.