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Finding the Fourth Proportional to 375.92, 561.55 and 289.22

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Solution

The fourth proportional to 375.92, 561.55 and 289.22 is: 432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.92 : 561.55 = 289.22 : x
  2. Step 2: Convert to fraction form
    375.92/561.55 = 289.22/x
  3. Step 3: Cross multiply
    375.92x = 561.55 × 289.22
  4. Step 4: Simplify right side
    375.92x = 162,411.49
  5. Step 5: Solve for x
    x = 162,411.49/375.92
  6. Step 6: Final answer
    x = 432.04

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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.