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Finding the Fourth Proportional to 409.83, 614.58 and 190.45

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Solution

The fourth proportional to 409.83, 614.58 and 190.45 is: 285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.83 : 614.58 = 190.45 : x
  2. Step 2: Convert to fraction form
    409.83/614.58 = 190.45/x
  3. Step 3: Cross multiply
    409.83x = 614.58 × 190.45
  4. Step 4: Simplify right side
    409.83x = 117,046.76
  5. Step 5: Solve for x
    x = 117,046.76/409.83
  6. Step 6: Final answer
    x = 285.60

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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.