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Finding the Fourth Proportional to 302.05, 416.64 and 185.50

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Solution

The fourth proportional to 302.05, 416.64 and 185.50 is: 255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.05 : 416.64 = 185.50 : x
  2. Step 2: Convert to fraction form
    302.05/416.64 = 185.50/x
  3. Step 3: Cross multiply
    302.05x = 416.64 × 185.50
  4. Step 4: Simplify right side
    302.05x = 77,286.72
  5. Step 5: Solve for x
    x = 77,286.72/302.05
  6. Step 6: Final answer
    x = 255.87

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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.