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Finding the Fourth Proportional to 302.00, 416.78 and 169.23

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Solution

The fourth proportional to 302.00, 416.78 and 169.23 is: 233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.00 : 416.78 = 169.23 : x
  2. Step 2: Convert to fraction form
    302.00/416.78 = 169.23/x
  3. Step 3: Cross multiply
    302.00x = 416.78 × 169.23
  4. Step 4: Simplify right side
    302.00x = 70,530.83
  5. Step 5: Solve for x
    x = 70,530.83/302.00
  6. Step 6: Final answer
    x = 233.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.