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Finding the Fourth Proportional to 419.00, 626.70 and 302.13

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Solution

The fourth proportional to 419.00, 626.70 and 302.13 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.00 : 626.70 = 302.13 : x
  2. Step 2: Convert to fraction form
    419.00/626.70 = 302.13/x
  3. Step 3: Cross multiply
    419.00x = 626.70 × 302.13
  4. Step 4: Simplify right side
    419.00x = 189,344.30
  5. Step 5: Solve for x
    x = 189,344.30/419.00
  6. Step 6: Final answer
    x = 451.90

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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.