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Finding the Fourth Proportional to 302.36, 419.21 and 292.23

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Solution

The fourth proportional to 302.36, 419.21 and 292.23 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 419.21 = 292.23 : x
  2. Step 2: Convert to fraction form
    302.36/419.21 = 292.23/x
  3. Step 3: Cross multiply
    302.36x = 419.21 × 292.23
  4. Step 4: Simplify right side
    302.36x = 122,504.28
  5. Step 5: Solve for x
    x = 122,504.28/302.36
  6. Step 6: Final answer
    x = 405.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.