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Finding the Fourth Proportional to 379.66, 571.78 and 334.51

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Solution

The fourth proportional to 379.66, 571.78 and 334.51 is: 503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.66 : 571.78 = 334.51 : x
  2. Step 2: Convert to fraction form
    379.66/571.78 = 334.51/x
  3. Step 3: Cross multiply
    379.66x = 571.78 × 334.51
  4. Step 4: Simplify right side
    379.66x = 191,266.13
  5. Step 5: Solve for x
    x = 191,266.13/379.66
  6. Step 6: Final answer
    x = 503.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.