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Finding the Fourth Proportional to 409.88, 614.40 and 193.07

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Solution

The fourth proportional to 409.88, 614.40 and 193.07 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.88 : 614.40 = 193.07 : x
  2. Step 2: Convert to fraction form
    409.88/614.40 = 193.07/x
  3. Step 3: Cross multiply
    409.88x = 614.40 × 193.07
  4. Step 4: Simplify right side
    409.88x = 118,619.14
  5. Step 5: Solve for x
    x = 118,619.14/409.88
  6. Step 6: Final answer
    x = 289.40

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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.