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Finding the Fourth Proportional to 379.42, 522.69 and 360.89

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Solution

The fourth proportional to 379.42, 522.69 and 360.89 is: 497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.42 : 522.69 = 360.89 : x
  2. Step 2: Convert to fraction form
    379.42/522.69 = 360.89/x
  3. Step 3: Cross multiply
    379.42x = 522.69 × 360.89
  4. Step 4: Simplify right side
    379.42x = 188,631.59
  5. Step 5: Solve for x
    x = 188,631.59/379.42
  6. Step 6: Final answer
    x = 497.16

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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.