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Finding the Fourth Proportional to 410.00, 614.60 and 190.69

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Solution

The fourth proportional to 410.00, 614.60 and 190.69 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 614.60 = 190.69 : x
  2. Step 2: Convert to fraction form
    410.00/614.60 = 190.69/x
  3. Step 3: Cross multiply
    410.00x = 614.60 × 190.69
  4. Step 4: Simplify right side
    410.00x = 117,199.66
  5. Step 5: Solve for x
    x = 117,199.66/410.00
  6. Step 6: Final answer
    x = 285.85

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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.