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Finding the Fourth Proportional to 409.79, 614.55 and 193.25

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Solution

The fourth proportional to 409.79, 614.55 and 193.25 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.79 : 614.55 = 193.25 : x
  2. Step 2: Convert to fraction form
    409.79/614.55 = 193.25/x
  3. Step 3: Cross multiply
    409.79x = 614.55 × 193.25
  4. Step 4: Simplify right side
    409.79x = 118,761.79
  5. Step 5: Solve for x
    x = 118,761.79/409.79
  6. Step 6: Final answer
    x = 289.81

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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.