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Finding the Fourth Proportional to 375.45, 561.84 and 229.15

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Solution

The fourth proportional to 375.45, 561.84 and 229.15 is: 342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 561.84 = 229.15 : x
  2. Step 2: Convert to fraction form
    375.45/561.84 = 229.15/x
  3. Step 3: Cross multiply
    375.45x = 561.84 × 229.15
  4. Step 4: Simplify right side
    375.45x = 128,745.64
  5. Step 5: Solve for x
    x = 128,745.64/375.45
  6. Step 6: Final answer
    x = 342.91

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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.