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Finding the Fourth Proportional to 419.92, 628.90 and 368.02

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Solution

The fourth proportional to 419.92, 628.90 and 368.02 is: 551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.92 : 628.90 = 368.02 : x
  2. Step 2: Convert to fraction form
    419.92/628.90 = 368.02/x
  3. Step 3: Cross multiply
    419.92x = 628.90 × 368.02
  4. Step 4: Simplify right side
    419.92x = 231,447.43
  5. Step 5: Solve for x
    x = 231,447.43/419.92
  6. Step 6: Final answer
    x = 551.17

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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.