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Finding the Fourth Proportional to 379.52, 569.14 and 184.40

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Solution

The fourth proportional to 379.52, 569.14 and 184.40 is: 276.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 569.14 = 184.40 : x
  2. Step 2: Convert to fraction form
    379.52/569.14 = 184.40/x
  3. Step 3: Cross multiply
    379.52x = 569.14 × 184.40
  4. Step 4: Simplify right side
    379.52x = 104,949.42
  5. Step 5: Solve for x
    x = 104,949.42/379.52
  6. Step 6: Final answer
    x = 276.53

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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.