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Finding the Fourth Proportional to 379.18, 565.79 and 344.35

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Solution

The fourth proportional to 379.18, 565.79 and 344.35 is: 513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.18 : 565.79 = 344.35 : x
  2. Step 2: Convert to fraction form
    379.18/565.79 = 344.35/x
  3. Step 3: Cross multiply
    379.18x = 565.79 × 344.35
  4. Step 4: Simplify right side
    379.18x = 194,829.79
  5. Step 5: Solve for x
    x = 194,829.79/379.18
  6. Step 6: Final answer
    x = 513.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.