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Finding the Fourth Proportional to 375.92, 563.66 and 289.02

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Solution

The fourth proportional to 375.92, 563.66 and 289.02 is: 433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.92 : 563.66 = 289.02 : x
  2. Step 2: Convert to fraction form
    375.92/563.66 = 289.02/x
  3. Step 3: Cross multiply
    375.92x = 563.66 × 289.02
  4. Step 4: Simplify right side
    375.92x = 162,907.57
  5. Step 5: Solve for x
    x = 162,907.57/375.92
  6. Step 6: Final answer
    x = 433.36

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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.