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Finding the Fourth Proportional to 379.28, 564.82 and 355.93

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Solution

The fourth proportional to 379.28, 564.82 and 355.93 is: 530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.28 : 564.82 = 355.93 : x
  2. Step 2: Convert to fraction form
    379.28/564.82 = 355.93/x
  3. Step 3: Cross multiply
    379.28x = 564.82 × 355.93
  4. Step 4: Simplify right side
    379.28x = 201,034.08
  5. Step 5: Solve for x
    x = 201,034.08/379.28
  6. Step 6: Final answer
    x = 530.04

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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.