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Finding the Fourth Proportional to 379.77, 566.94 and 338.76

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Solution

The fourth proportional to 379.77, 566.94 and 338.76 is: 505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.77 : 566.94 = 338.76 : x
  2. Step 2: Convert to fraction form
    379.77/566.94 = 338.76/x
  3. Step 3: Cross multiply
    379.77x = 566.94 × 338.76
  4. Step 4: Simplify right side
    379.77x = 192,056.59
  5. Step 5: Solve for x
    x = 192,056.59/379.77
  6. Step 6: Final answer
    x = 505.72

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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.