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Finding the Fourth Proportional to 379.37, 567.61 and 264.04

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Solution

The fourth proportional to 379.37, 567.61 and 264.04 is: 395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.37 : 567.61 = 264.04 : x
  2. Step 2: Convert to fraction form
    379.37/567.61 = 264.04/x
  3. Step 3: Cross multiply
    379.37x = 567.61 × 264.04
  4. Step 4: Simplify right side
    379.37x = 149,869.67
  5. Step 5: Solve for x
    x = 149,869.67/379.37
  6. Step 6: Final answer
    x = 395.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.