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Finding the Fourth Proportional to 379.42, 569.06 and 160.08

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Solution

The fourth proportional to 379.42, 569.06 and 160.08 is: 240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.42 : 569.06 = 160.08 : x
  2. Step 2: Convert to fraction form
    379.42/569.06 = 160.08/x
  3. Step 3: Cross multiply
    379.42x = 569.06 × 160.08
  4. Step 4: Simplify right side
    379.42x = 91,092.79
  5. Step 5: Solve for x
    x = 91,092.79/379.42
  6. Step 6: Final answer
    x = 240.09

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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.