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Finding the Fourth Proportional to 365.97, 551.42 and 302.39

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Solution

The fourth proportional to 365.97, 551.42 and 302.39 is: 455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 551.42 = 302.39 : x
  2. Step 2: Convert to fraction form
    365.97/551.42 = 302.39/x
  3. Step 3: Cross multiply
    365.97x = 551.42 × 302.39
  4. Step 4: Simplify right side
    365.97x = 166,741.00
  5. Step 5: Solve for x
    x = 166,741.00/365.97
  6. Step 6: Final answer
    x = 455.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.